Advertise on podcast: プレプリどんどん: math.NT

arXiv math.NTの新着論文34本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-11/ The uncertainty operator, the Weil ground state and the zeros of zeta: a numerical study and conditional positivity of the Weil quadratic formThe $\mathbb Q$-gonality of $X_1(42)$ is $12$Bounding the security of the Bromberg-Shpilrain-Vdovina hash functionA counterexample to the Erd\H{o}s--Mahler conjectureA Threshold-Crossing Condition for the Least Colossally Abundant Counterexample to Robin's InequalityOn the equidistribution of eigenfunctions of higher dimensional cat maps modulo prime powersPeriods and CM motives of abelian typeDiophantine approximation with prime denominators in short intervalsA Moment Proof of the Hollman-Xiang Conjectures on Kloosterman PolynomialsWhen do all iterates of $x^2 + a$ have maximal Galois group?Explicit plane models for all Galois quotients of the Hermitian curveA generalized Vojta-R\'emond inequality over adelic curvesAsymptotically good codes from Siegel modular varietiesSun's conjecture on a certain ternary quadratic formA complete classification of permutation binomials of the form $X^r(X^{2(q-1)}+a)$ over finite fieldsThe exponent $3/4$ for the exceptional sets of the equations $K/n=1/x+1/y+1/z$A Complete Classification of Maximal Hyperelliptic Curves Related to Chebyshev PolynomialsCounting Rational Points on Cayley's Cubic SurfaceDivisor Folding and Finite-Group Trace ObstructionsThe distribution of small gaps between zeros of the Riemann zeta functionZeros of Katz's p-adic Eisenstein series E2Cyclically covering subspaces and additive perfect codesA cyclotomic Artin-Tate formula and sphere packing for K3 surfacesNonnegative weak tilings and the Coven-Meyerowitz condition (T2)Non-abelian $p$-adic Hodge theory and stacksDavenport Constants of High-Dimensional Integer SetsParabolic induction and pullback of perverse sheaves on Vogan varietiesThe zero-sum constant $\mathsf{s}_p^*$ and inverse problemIntermediate Growth and Rigidity in Primitive Circulant Spectral AlgebrasReconstructing Numerical Semigroups from Circulant Spectral DimensionsRamification of torsion packets on curves with good-reduction JacobiansProgression-free sets in class $2$ and arbitrary finite groupsBayesian inverse problems and epidemic-threshold uncertainty for a heterogeneous SIS reaction-diffusion modelThe closure of the nonreal roots of bounded-height polynomials is connected exactly at pronic heights

arXiv math.NTの新着論文56本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-10/ A recursion relation for the coefficients of Swinnerton-Dyer type polynomialsA singular homeomorphism between Pierce expansions and continued fraction expansionsAn elliptic deformation of continued fractionsMotivic generating functions and $L$-derivatives of cohomological automorphic representationsLocal vanishing density of order $1$ and Divisor momentsMultivariate Pellarin $L$-values on algebraic curvesA Goldbach-Type Problem for the Unitary M\"obius FunctionOn the error term in Gauss's mean value formulas for class numbersTrivial solutions in Generalized Fermat equationsRestricted Quantum unique ergodicity under Generalized Lindel\"of conjectureA quantitative two-interval criterion for the Riemann hypothesisOn the lower bound for the $L^1$ norm of Liouville exponential sums. IINew lower bounds for even and odd values of the partition functionDiophantine definitions of nonsplitting for central simple algebras over global fieldsOn mod p Hecke algebras of abstract p-adic automorphic formsOn Rankin Invariants of Ideal LatticesStatistics of centralizers of integer matricesNew families of maximal curves not covered by the Hermitian curve and their cyclic automorphism groupsOn quantitative aspects of ideal membership certificate and GCD inequality for polynomials evaluated at almost unitsSmooth approximations to character sums and zeta sumsRevisiting the conjectures of Shapiro and Schanuel2-Selmer in arithmetic progressionsMonotonicity of Erd\H{o}s sumsRanks of fibers in random elliptic surfacesA rank-zero $2$-converse to the Gross--Zagier and Kolyvagin theorem for elliptic curves with abelian two-division fieldOn the $\Delta$-primitive squares conjecture$C_{\st}$-conjecture for compactly supported pro-\'etale cohomologySimple algebraic groups with good reduction, the genus problem, and unramified cohomologyAn Analytic Evaluation of Euler Sharp SumsSuper-positivity via Dirichlet theta functionsLinear disjointness and values of Mahler M-functionsNontrivial Zeros of the Riemann Zeta Function and Its DerivativeAn asymptotic formula for primes of the form $u^2+v^2+1$Horizontal estimates for Kloosterman sums under Hecke eigenvalue constraintsTernary quadratic genera and generalized Hurwitz class numbers via quaternion ordersIndependence of Hasse--Weil $L$-functions over rings of Dirichlet seriesA relative trace formula for the orthogonal Gan-Gross-Prasad model and the proof of its fundamental lemmaOn the higher-order Titchmarsh divisor problemWhy the non-abelian Gyarmati--Matolcsi--Ruzsa inequality does not generally work: mechanisms and explicit examplesA complete symmetric rank-two modularity classification, obtained through a sharp uniform degree boundBrown-Gap Healing and Exact Completeness Thresholds for Leading-Unit Positive Linear RecurrencesAn introduction to discrete dynamics in condensed sets: orbits, periodic loci, and arithmetic examplesThe Fourier kernel and invariant trace formula of $\rm{GL}(3)$A Quarter-Power Bound for Chowla's Cosine ProblemPhase Transitions for Random Least Common Multiples with MemoryBecker's Conjecture on Compositions of Higher Degree Diagonal FormsDoubly-Efficient Private Information Retrieval from Modular FormsInfinitude of integral Hitchin representations of Coxeter polygons$\mathrm{RO}(G)$-graded norms for de Rham-Witt formsA criterion for the set of subsums to be a Cantorval for a certain class of multigeometric seriesCube tilings, partition counters, and the Calkin--Wilf and Kepler treesCertified finite-precision readout for $p$-adic kernel aggregationReal quadratic fields and finite quantum dilogarithms II: traces of quantum modular cocyclesLower intermediate dimensions of classical Denjoy minimal setsAvoiding short progressions in Euclidean Ramsey theory IIOrbits along primes in totally minimal systems

arXiv math.NTの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-09/ Composite witness sieves, Kneser--Plancherel containers, and the exponent $5/7$ for the Erd\H{o}s--Straus conjectureBurgess' bounds with prime moduliJoint Approximation and the Mixed-Prime Character GroupAn Elementary Proof of the Binary Goldbach ConjectureThe existence of small defining polynomials for number fields, IICampana points on quadrics with hyperplane boundaryElliptic units, derived Heegner classes and the p-adic Birch and Swinnerton-Dyer quotient of CM elliptic curves of rank twoBounded Ratios of Best Approximations: Sharp Bounds and Spectra of Diophantine ExponentsRoot sharing and $2$-adic interpolation for Legendre polynomialsThe exceptional set of Goldbach numbers among polynomial valuesCurves with absolutely irreducible Tate modules over $p$-adic fieldsPermutation polynomials from quadratic and linear formsOn a Problem of Gordon and Hughes: The 11-adic Properties of Meromorphic Modular Functions on $\mathrm{X}_0(22)$Euler trace congruences over local fieldsHarper's beyond square-root conjecture for random matricesMellin Transform formulas for special values of Goss $L$-functionsCounting Finite Maps through Functional Digraphs and FibersA counterexample to Manin's Conjecture for almost Fano varietiesZariski dense hyperbolic 3-manifold groups in $\mathrm{SL}(4,\mathbb{Z})$Cuspidal sections for varieties of arbitrary dimensionOne complex metric and geometric adelic nefnessSupercuspidal and elliptic densities for reductive groups over non-archimedean local fields

arXiv math.NTの新着論文28本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-06/ Explicit bounds for the number of solutions to Roth-type inequalities over adelic curvesMetallic Circles: Concyclic Tangency Points of Ford Circles over $k$-Fibonacci QuotientsMahler's Problem on Liouville Numbers II. Rational MapsOn Amoebas and the Arithmetic Rigidity of the Mahler MeasureFields Generated by a Single Point on Elliptic CurvesOn explicit units in a family of cubic fields and the arithmetic of curves arising from powers of these unitsPeriodic counting, carry synchronization, and primes in nonstandard numeration systemsOn a problem due to Erd\H{o}s concerning $w_1(n)$Multivariable Congruence Jumping: Periodic States, Integral Realizations, and DescentA Hypergeometric RM Surface: Integral Monodromy and Level-11 CoversThe minimal excludant and the least $r$-gaps of $\ell$-regular partitionsTowards a twistless converse theoremOn Sufficient Conditions for Rank Zero in Families of Elliptic CurvesOverholonomicity of Overconvergent $F$-isocrystals over Laurent Series FieldsArithmetic theta products and doubling at arbitrary levelDensity and holes of the visible points in certain cut-and-project sets$p$-parity conjecture for Panchishkin Galois representationsPointless K3 surfaces over finite fieldsAn extremal unimodular lattice of rank 37Gaps in the Most Frequent Sizes of Integer SumsetsBrauer groups of generalised Markoff surfacesCombinatorics of noncommutative harmonic oscillator determinantAnti-ribbon shaped Young diagram decompositionThe parity of the number of missing integers in partitionsThe Calkin--Wilf problems on $\ell$-ary partition functionsCounting multigeodesics and the Selberg-Delange methodFermat quotients with CM Jacobians and trivial automorphism groupSteinberg module and top-dimensional cohomology for arithmetic Chevalley groups

arXiv math.NTの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-05/ A normalization issue in a transmitted form of Bloch's diamond formula: anti-invariant subgroup versus regulator quotientLow moments of sums of extended Rademacher random multiplicative functionsOn the existence of nonadmissible irreducible smooth representations of $p$-adic $\mathrm{GL}_n$Partitions with designated summands: $k$-tuples and their congruencesOrbit Transversality for Projective SpaceDiophantine definability from addition and divisibility over rings of $S$-integersSecond moment of incomplete Eisenstein series revisitedCollision Parameters in Higher-Dimensional Families of PolynomialsTwisted Diophantine approximation: asymptotic and uniform resultsA Rankin-Selberg Integral for $SU_{2,2}$Maximal Unipotent Monodromy and $p$-adic Eigenvalue FormulasThe enhanced polylogarithm conjecture in weight two for imaginary quadratic fieldsPoissonian Pair Correlation and Discrepancy RatesThe Minimal excludant of $\ell$-regular partitionA Galois-type Springer theorem for hermitian and generalized quadratic formsRational Torsion and Ramification Constraints on Odd Superelliptic JacobiansCertified Collision Exclusion and an Unconditional Upper Bound $\LambdaHopf-Galois Structures on Extensions Arising from Division Points on Elliptic CurvesMultiple $q$-zeta values as polynomials in partition multiplicitiesPrivate key sieves for improved attacks on RSAImproved deterministic integer factorization by quadratic-image sievingUnit fraction representations using shifted Golomb primesAn Asymptotic for E. P. Stein NumbersExact $3$-Adic Periods of Symmetric Dellac Numbers and Their Polynomial ExtensionsNon-admissible smooth irreducible representations of $\mathrm{GL}_2(F)$ for totally ramified extensions $F/\mathbb{Q}_p$PCF All The Way DownArthur packets for $\mathrm{G}_2$ over $p$-adic fieldsProof of two conjectures on the log-concavity of partition ranks and cranksConformal field theory from automorphic forms on a quantum group

arXiv math.NTの新着論文24本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-04/ A generalization of the Dirichlet approximation theorem for affine actions on the real lineClassification of torsion of elliptic curves over sextic fieldsSome instances of modularity for residually reducible representations in the mixed caseRamanujan-type congruences for the smallest parts functionRational points on loxodromic K3 surfaces and complex dynamicsOn integers $n$ relatively prime to $\lfloor \alpha n^2\rfloor$The smallest-parts function and elliptic curvesFinding Integer Roots of Polynomials in Nearly Optimal TimeCounting irreducible skew polynomials $x^{2n}+ax^n+1$Inverse powers and 2-adic properties of binary 3 x 3 matrices associated with the Tribonacci sequenceAsymptotics for partitions over the Fibonacci numbers and related sequences, IIOn the Diophantine equation $Cx^2+p_1^{2m_1}p_2^{2m_2}\cdots p_k^{2m_k}=y^q$Almost primes in short intervals and averages of long Dirichlet polynomial approximations to $(\zeta'/\zeta)^{k}$On partitions with bounded multiplicity restrictions on even parts and with the largest part being oddDivisibility Properties of Odd Part and Even Part Sums in Cubic PartitionsOn the van der Corput property for cubesSumming over Seifert Manifolds in Narain Ensemble AveragesOn the Irreducibility of Locally Analytic Vectors in Certain Banach Representations of $D^\times$Good slopes, congruence preservation, and gaps over residue ringsPolynomial configurations and pointwise averages along Piatetski--Shapiro primesAdditive energy, Freiman's lemma, and an edge-isoperimetric problem on the boolean cubeRelative Tate-Shafarevich kernel of a reductive group over a global fieldHecke Relations from Self-DualityOn the $abc$ conjecture

arXiv math.NTの新着論文87本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-03/ Cuspidal sheaves on the stack of L-parametersPorosity in Diophantine approximationOn the Distribution of Prime Squares and Its ApplicationsA power-saving asymptotic for a M\"obius-weighted GCD quadratic formThe distribution of $\alpha\pi$ modulo one in $\Fq(T)$: beyond Matom\"aki's exponentCyclotomic polynomials with trinomial irreducible factors over finite fieldsOn Certain Congruences for Partition $k$-Tuples with $5$-CoresPartition statistics and universal mixed mock modular formsTwisting-free converse theorems for $\Gamma_0(32)$ and $\Gamma_0(36)$On Ramanujan's cubic continued fraction, IIThe covering radius of the first-order Reed-Muller code in nine variables is 242An exhaustion-aware product moment and zero-free half-planes for Hecke L-functionsTwo-point Pad\'e approximation and patterns in continued fractions for $(F_{n+1}/F_n)^k$Uniform cubic bounds for irrational values of the dilogarithmOn Wagstaff primes in the $k$-Pell number sequenceFermat curves and explicit class field theory for real quadratic number fieldsEntanglement for elliptic curve group ordersSmall-LCM Distinct Covering Systems via Segmented Local SearchA secondary term in the first moment of primitive cubic Dirichlet L-functionsImproved first moments of primitive quartic and sextic Dirichlet $L$-functionsAdelic Galois representations are maximal for almost all Drinfeld modulesA solution to the Erd\H{o}s-S\'{a}rk\"{o}zy product-density problemA Counterexample to Wooley's $L^1$ Question for Beatty SequencesSmooth numbers in simultaneous arithmetic progressionsCounting Nilpotent Galois extensions with prescribed genus numberA new upper bound for the irrationality exponent of $\zeta(5)$Irrationality measures for $\Gamma(1/4)$ and $\Gamma(1/3)$Inhomogeneous Fiber Refinement of Gallagher's TheoremGroups of Prime UnitsFinite Cotangent Power Sums Weighted by Additive Characters With Application to Mean Values of Additive-and-Multiplicatively Twisted $L$-FunctionsA Korselt Characterization of Carmichael Numbers of the Form $(aC_n+1)(aC_{n+1}+1)(aC_{n+2}+1)$Probing automorphic induction through zero correlations and secondary arithmetic termsFunctoriality probes over number fields by mixed zero correlationsA converse theorem for GL(2) over global fields without root numbersOn the probability that the integer parts of polynomials are coprimeDeterministic Polynomial-Time Primality Testing with a Single Binomial CongruenceOn the exponential Diophantine equation $\left(P_{n}^{(k)}\right)^{x}+\left(P_{r}^{(k)}\right)^{x}=P_{m}^{(k)}$On the exponential Diophantine equation $\left(P_{n+1}^{(k)}\right)^{x}-\left(P_{n-1}^{(k)}\right)^{x}=2P_{m}^{(k)}$The module structure of ideals in degree $p$ extensions of $p$-adic fieldsOn the Space Defined by the Modular Transformation Law for Multiple Eisenstein SeriesInfinitely many negative terms in two weighted partition sequencesA Global Generic Locus for Elementary Abelian p-covers of P^1 with two Ramification PointsCalogero-Moser Polynomial Approximations and Dwork Congruences for Complete FlagsReducible fibers of polynomials over integers: the Hilbert-Siegel problem over $\mathbb{Q}$ and its applicationsOn the Hasse-Sugawara problem and its application to Hilbert's twelfth problemExplicit permutations of $(\mathbb{Z}/4\mathbb{Z})^m$ with uniformly bounded differential uniformityOn the Diophantine equation $Cx^2+p^{2m}=y^q$Extreme values of derivatives of Dedekind zeta functions on the $1$-lineSemiprime Rigidity and Growth along Powers in Integer-Sided Cyclic PolygonsWhen GL(2) cusp forms meet CM points in GSp(4)Density and distribution of quotients associated with Goldring's $w$-functionThe Siegel-Shidlovskii Method RevisitedModular L-functions and Chebyshev systemsPositive integral points on Mordell-Schinzel surfacesUniversality of monomial square formsPairs of quadrics in eleven variables over number fieldsAnticyclotomic Iwasawa theory at potentially ordinary primesOn covering systems over finite nilpotent groups and latticesA resolution of the Steinberg module of a parabolic subgroup of GL_nOn Landau's "local method" for obtaining zero-free regionsZeta functions of quasi-split reductive algebraic groups over local fieldsEfficient congruencing in $\mathbb Z[t]$ modulo $t^2$Rank stability of elliptic curves over prime cyclic extensions of function fieldsBounds for the binary quartic Weyl sumOn the lower bound for the $L^1$ norm of Liouville exponential sums. IIsogeny rigidity under algebraic group actions and finite translation orbitsCyclicity of Drinfeld modules modulo primes in arithmetic progressionsOn ill-distributed $B_3$ and $B_4$ setsThe Dilate RollercoasterOn potential density of rational points on hyperkahler varietiesOn the complexity of isomorphism problems for tensors, groups, and polynomials V: over commutative ringsIdentities for generalized Bernoulli numbers from a Lie model of the 2-diskStacked-bases Properties, maximal ideals and polynomial closures of Rings of Integer-Valued PolynomialsThe Golden Quadruple: Four Reals Whose Differences Form a Geometric Progression, Rigidity of the Golden Ratio, and a Bohr Almost Periodic Cosine SumHalving Partitions and Hyperbinary ExpansionsContact multiplicity and a sharp six-map bound for collinear self-similar dendritesCounterexamples to uniqueness for a discrete X-ray transform under quadratic decayTopological transcendence degree and the dimension problem for perfectoid spacesAn Odd-Arch Family of Perturbed Hofstadter Q-Recursions: Gaussian Profiles and Exact Frequency LawsInfinite Generalized Sidon Sets with a Negative Answer to a Problem of Szemer\'ediConvergence in law of the maximum of the Riemann zeta function on expanding intervals near the critical lineThe signed error-sum function of tent-map expansionsOn a hybrid trilinear Hilbert transformMultiplicity one for a linear spherical pair and its unitary analogueOn some positivity properties of the Riemann $\Xi$ functionGeometrization of Kottwitz-Shelstad transfer and Vogan's conjecture on local Arthur packetsGood rational functions up to degree six

arXiv math.NTの新着論文27本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-11-02/ A law of the iterated logarithm for random multiplicative functions on integers with a large prime factorIntegral Brauer--Manin Obstruction for Fermat Near MissesA Local Fourier-Transform Proof of Offen's Spherical Transfer TheoremErd\H{o}s--Straus Conjecture: Modular Inversion in Mordell ClassesClusters of primes revisitedA spectral theory of zeta functions of function fieldsWeil Operators and Remainders of Anderson Generating Functions over a Punctured Projective LinePositive Values of Inhomogeneous Quadratic Forms of Type (1, 4): The Constant \Gamma_{1,4} = 8Vector Valued Katok-Sarnak FormulasKloosterman Sums and Pl\"ucker Height Zeta FunctionsPrimes and the M\"obius function over quadratic polynomialsTwisted second moments of Dirichlet $L$-functions with applications to weighted one-level densityIrrationality of values of $L$-functions for real Dirichlet charactersOn sign patterns of Fourier coefficients of theta quotientsIterated toric descent obstruction and homogeneous spaces over geometric global fieldsJoint universality of the Riemann zeta-function with arbitrary real shift parametersEstimates of Lucas series and expansions in non-integer basesOn the modularity of residually reducible Galois representations of rank 2A conjecture on Galois groups and large fieldsCentral values of additive twists of automorphic $L$-seriesSpectral Beurling-Selberg Approximation and Applications to Effective Motivic Chebotarev-Sato-Tate EstimatesOn the Iwasawa invariants of admissible quadratic twists of elliptic curves at ordinary Eisenstein primesDescent and Decomposability of Algebras of Exponent 2 in characteristic 2Four runners that are barely lonelyA Diophantine generalization of Fourier's irrationality trickThe complexity of tiltingLimit theorems for cuspidal orbits on Fuchsian groups

arXiv math.NTの新着論文61本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-30/ The View-Obstruction Problem for Spheres in Dimensions Six and SevenJacob's ladders and wander from Hardy-Littlewood integral (1918) to the $\zeta$-Platonic cube form of equivalent of the Fermat-Wiles theoremOn the convexity of the fundamental domain of binary cyclotomic formsNovel properties of polynomialsA complete classification of minimal value set polynomialsVan der Waerden's Problem for Cubic SurfacesA Kohnen-Zagier Formula in Level 1Determining norm-Euclidean complex cubic fieldsGeometric properties of the analytic Emerton-Gee stackA note on a problem of Ma and ChenThe Borisov--Nuer conjecture and root decompositions in even unimodular Lorentzian latticesLifting mod $p$ Galois representations over local fieldsRepresentations and $n$-universality of hermitian lattices over local and number fieldsAn asymptotic Jensen-Polya criterion for GRHSerre's conjectures for $\Q(\sqrt{13})$Reciprocity formulas for generalized Dedekind character sumsCA2 numbers and the Riemann hypothesis: a numerical investigation of Ramanujan's inequalitiesFree modules of vector-valued modular forms and applications to Jacobi formsCentres of mass, Steiner's theorem, and equations of Erd\H{o}s-Moser typeThe trace distribution of $r$-primitive $k$-normal elements of finite fieldsAn introduction to the strategy of transcendence proofsOn short averages of the Fibonacci partition functionRational points of exact period three for the quadratic familyMoments of characteristic polynomials at random matrix Gram pointsLow-rank matrices with three prescribed off-diagonal values over $\mathbb{F}_p$Least common multiples of polynomial values: averaging, ray classes, and Galois statisticsVanishing near the virtual cohomological dimension of $\mathrm{SL}_n(\mathbb Z)$Hilbertian Fields and Profinite Iterated Monodromy Groups Over Transcendental Elements with Specializations of Infinite IndexQuasimodularity of $q$-series associated to root latticesAn Arithmetic Property of Intertwining Operators for Real Reductive GroupsExtreme values of Artin $L$-functions at $s=1$Geometric Proofs of Riemann-Type Theta RelationsShifted convolutions of divisor functionsMultiple representations in difference sets under polynomial density constraintsPetersson-rigid lattices of signature (2,1) and their harmonic weak Maass formsSpecial cycles and Picard groups of Baily--Borel compactificationsArchimedean Asai Zeta Integrals and Cohomological Test VectorsThe 120-Cell Dissected by the Hyperplanes of Its Final Stellation: the golden ring Z[phi] as foundation, from Kramer's seven cells to 2,455,201 cells in 338 orbitsA logarithmic error term for subset sums of zero-sum-free setsMoments of Magic Squares: Line-Sum Conditions, a Permutation Threshold, and Random EnergiesDavenport constants with growing binary rankClass groups of polynomial Krull domainsArithmetic classification of the Dirichlet eigenvalues for a one-dimensional nonlocal $p$-Laplacian problemOn the Supersingular reduction of Cubic fourfolds with Complex MultiplicationOn the Complexity of Computing with p-adic LatticesTransfer kernels and the Schur multiplierGoldbach Representations in Quantum Optics and MetrologyThe Categorical Fargues-Scholze Correspondence at Generic ParametersA Uniform Upper Bound on the Length of MDS Codes from Genus-Two CurvesStrongly explicit Ramanujan 2-lift towers via Hilbert modular formsSolutions to several problems on infinite sumset configurationsThe Gleason--Kahane--Zelazko theorem: a gentle introductionIsospectral congruence manifolds, spectral rigidity, and a converse to Vign\'erasParahoric Spherical Whittaker FunctionsThe Kodaira dimension and minimal models of $\mathcal{A}_6$Non-Archimedean Rigidity and the Uniform Dynamical Manin--Mumford for $\left(\mathbb{P}^1\right)^n$Galois module structure of Deligne--Lusztig varieties for $\mathrm{GL}_3$A p-adic Valuation Calculus for Permutations with Restricted Cycle LengthsLattice moments and quantum designsRamanujan Challenge Results: AI-Assisted Evaluation Pipeline for Multi-Format ProofsA self-normalized law of the iterated logarithm for Rademacher random multiplicative functions

arXiv math.NTの新着論文41本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-28/ Counting Markov triples and simple geodesicsUniform local models of quasi-unipotent $p$-adic differential equationsHankel determinants for the $(n+2)$-shifted $q$-metallic numbersComputations in weight 3 of higher Bloch groupsInfinite families and sporadic solutions of the equation $\varphi(n)=c+\alpha\sum_{p\mid n}\varphi(p)$Retriangular numbers and affine maps between polygonal numbersPointwise to global good reduction problemsGross--Prasad conjecture in geometric LanglandsMetric Diophantine approximation with primes on irrational linesExact Generic Exponents of Approximation for the Action of the Integral Special Linear Group on the TorusMoment representations for generalized Lehmer polynomialsEffective Chebotarev-Sato-Tate distribution for Abelian varieties with applicationsArchimedean zeta integrals on $ {\rm SO}_{2n} \times {\rm GL}_n$ and $ {\rm Sp}_{2n} \times {\rm GL}_n $Resolvent Components of Completely Normal Elements and the Morgan-Mullen ConjectureSquare-root logarithmic bounds for the arithmetic complexity of factorial multiplesOn the interpolation property of Kupferer's Lubin-Tate regulator mapsArithmetic Poisson summation formulasOn extended interpolation properties of the Katz $p$-adic $L$-functionFinite Fields: Root Sets, Frobenius, and Algebraic StructureDensity and Defect Distribution of Reduced Ideals Missed by the Reduction Algorithm in Real Quadratic FieldsLarge values of Hardy's Function from the Selberg classNear-quadratic sum-product estimates in fixed number fieldsFactorization of Elliptic Divisibility Sequences via Modular CurvesExplicit Serre weights for modular Galois representations of $U(2)$Universality Criterion Sets for Definite Quadratic Lattices over Polynomial RingsOn $p$-Adic Valuation Trees Arising from Laplace Transform of Fibonacci PolynomialsA zero-density estimate for the symmetric square $L$-functions in the weight aspectClass numbers and finiteness of norm Euclidean quadratic lattices over algebraic number fieldsSpectral $L^2$-bounds on Eisenstein series and Diophantine properties of quadratic formsRank functions, $\mathbb{Z}_p$-extensions and class numbersCoprime matchings of divisor setsRe-Ordering the Generalized Hofstadter Functions G, H, and BeyondOuter Lipschitz Geometry of Unions of Tangential Nodal SetsOn the $d$-invariants of Brieskorn spheres and $\mathrm{GL}(2,\mathbb{Z})$Failure of the congruence Hasse principle for commutators in orientable surface groupsJack multiple zeta functionFractal transference principle for conformal iterated function systemsEnumeration of zero-sum subsequences: A proof of Bialostocki-Lotspeich conjectureToric Varieties from Multiple Zeta ValuesSharp Bounds for Toral Eigenfunctions and Threefold Additive Energy on CirclesIwahori Whittaker functions for unramified quasi-split groups

arXiv math.NTの新着論文53本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-27/ A Sharp Distributional Lower Bound for Planar DiscrepancyOn the unit group of some triquadratic fieldsTwo parametric $q$-supercongruences from Andrews' multi-series transformationOn the evenness of coefficients of modular formsA secondary term in the first moment of cubic $L$-functions over function fieldsLocal obstructions and certified computations for perfect powers in power sumsHeight growth of rational self-mapsSquarefree Values of Random PolynomialsOn Lehmer's ProblemZassenhaus Filtration and Ihara ConstantsJoint Extension Field Point Counts for Superelliptic CurvesExploring topological features of a complex network of prime factors and composite numbersExplicit Coleman integration over finite extensions of $\mathbb{Q}_p$Finite-sum Identities and Supercongruences for Cubes of Catalan NumbersCross numbers and the characterization of finite abelian groups by length setsThree Quadratic Recurrences Modulo 3: What We Can Prove and What We Can GuessOn real biquadratic number fields for which the $2$-Iwasawa module has rank $3$A symmetric extension of Zhao's series for $\zeta(5)$Frangible prime gapsResults for distinct covering systems with a prime minimum modulus $q \ge 11$Admissible sets of integers in imaginary quadratic fields of class number 1Finiteness theorems for trace Euclidean quadratic lattices over totally real number fieldsGeometric progressions in distance sets in odd dimensions over prime fieldsThe Family $X_{qp^s}$ for Distinct Primes $q,p$ in Connection with Carmichael's Totient ConjectureHartl's dictionary and a transcendence characterization of equicharacteristic local shtukas with complex multiplicationDynamical Chowla conjecture for polynomials of several variablesCounting Integral Matrices with Given Cubic Characteristic PolynomialNon-liftability of the field of norms of the $p$-adic false Tate curve extensionOn almost perfect additive complementsGalois groups of polynomials over a fixed number field: determinant methods in general boxes, resolvents, and quantitative countingWeighted density bounds for covering systems over Dedekind domainsBounds on the number of squares in recurrence sequences: $y_{0}=b^{2}$ (II)Congruences modulo powers of $7$ for partitions with colored odd partsSpectral zeta functions in positive characteristicOn Hecke algebras at exceptional Eisenstein primesOn the Hasse principle for a block-diagonal form and a form of lower degreeOn explicit formulas for Grassmannian polylogarithms and Gelfand-MacPherson formsImproved lattice-packing bounds in small dimensionsOn the magic positivity of the Ehrhart polynomials of dilated base polytope of minimal matroidStability of certain elements in the Bernstein centerBrauer--Manin obstruction for Weil restrictionsInequalities and asymptotics for hook numbers in two partition functions of MacMahon and AndrewsFine points of the moduli space of cubic rational mapsMDS codes containing a fixed subcode over finite field extensionsOn the Torsion Subgroup of the N\'eron--Severi GroupColored Partitions and Minimal ExcludantsTemporal central limit theorem for mixed-radix odometer discrepancyPointwise ergodic theorems along oscillating sequencesUniqueness of the maximal function field with the third largest genus in characteristic $3$Modular Existential ClosednessProofs of strong forms of the Bovdi--Geche universality conjecture and a complex analogueCharacterising canonical lifts of ordinary Calabi-Yau varietiesProperties C and D fail for $C_n^r$ whenever $n \equiv 2 \bmod 4, n\geq 6$ and $r\geq 4$

arXiv math.NTの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-26/ Biases in gaps between zeros of Dirichlet L-functionsDivisor Sums with Spacing ConstraintsQuantitative nodal domain count for Maass formsOn Parameterization of Some Problems in Number TheoryElliptic curve rank growth in multi-quadratic extensionsTrivial Iwasawa modules and arithmetic linking numbersAn explicit bound on $|\zeta_K(1+it)|$A Sharp Upper Bound for the Frobenius NumberValue-distribution of Euler--Zagier type multiple zeta-functions with identical arguments on the critical linePrime Numbers of the Form $24m+1$ and Erd\"{o}s-Straus ConjectureShintani Cocycle Decomposition of Topological Polylogarithms for Totally Real FieldsBinary Quadratic Forms, Shintani Lifts, and Twisted L-ValuesThe limiting zero counting measure for Eisenstein seriesHausdorff dimension of canonical height spectraThe Hardy--Littlewood asymptotic for primes $p$ and $p+4$ from a uniform zeta-ratios conjectureA genus-two spectral curve of the Riemann $\Xi$-function: Real Structure and Certified Arithmetic Separation of PeriodsSpectral convergence associated with Weil's quadratic formTraces of Green's functions on $\mathbb{H}^q$ over point-hypersurface pairsRational Points on Affine Varieties over Finite Fields and Polygonal Number SequencesPower Sum Varieties over Finite FieldsPartial rigidity and q-additive functionsDeterministic Root-Finding over Finite Fields with Elliptic Curves

arXiv math.NTの新着論文25本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-23/ Simultaneous popular polynomial differences in higher dimensionsAn explicit elementary proof of no Landau--Siegel zerosNorm-Euclideanity in cyclic fieldsOn the Open Problem in the 2023 Simon Marais Mathematics CompetitionAspects of quadratic Chabauty via modular formsComplete Determination of the Gallai--van der Waerden Number \(\mathrm{GW}(r;3,3)\)OpenAI partially disproves Littlewood's 1961 $L^\alpha$-flat theoremThe exponent $1/4$ in three complexity bounds: integer bases, continued fractions, and the $(3/2)^n$ steering wordIrrationality Exponents of Real CM Elliptic Periods and Powers of the Lemniscate PeriodOn the arithmetic Siegel--Weil formula for orthogonal Shimura varieties over a general totally real fieldLandau-Siegel zeros over a base field and effective Brauer-SiegelNonvanishing of 2-primary Kolyvagin classes via simultaneous quadratic twistsDenominators of Hodge integrals and Minkowski numbersRelative Hitchin fibrations and endoscopy for Unitary Friedberg--Jacquet varieties$\SL_3$ dual pairsAsymptotics of local height pairing without Hodge conjectureA general quantified Wiener-Ikehara theoremExact Archimedean Flicker--Rallis Periods on Cohomological Minimal $K$-TypesNonexistence of Constant Congruences for the Cumulative Partition FunctionOpen dynamics with a moving hole: inhomogeneous IFS and exponential separation conditionLog blow-ups and global resolutions in rigid geometryCohomology of integral structure sheaves for open varietiesLocal heights for nef toric compactified divisorsDeep holes of full-length Reed--Solomon codes: uniform bounds and exact classificationsLanglands-Shahidi gamma factors and local transfer in families

arXiv math.NTの新着論文35本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-22/ An Asymptotic for Non-Wieferich NumbersA Counterexample to the Eventual Stability ConjectureSch\"affer's conjecture for even $k \le 42$A quaternary Diophantine inequality with prime numbers of a special form (II)A relative Schinzel-Zassenhaus bound for the polynomial $T^2 - 1$Short sums of the M\"obius function over function fieldsSubset sums of power values over Galois ringsOn a conjecture of VelaniHecke Orbits on Globally Drinfeld-Uniformized Shimura Varieties Are $p$-adically Nowhere DenseThe Octonionic Rational Wave Numbers: Non-Associative Sequence Algebras, Moufang Loops, and Exceptional $G_2$ SymmetriesZeros of quadratic Dirichlet $L$-functionsConstruction of Galois modules describing ideal class groups and applications to Iwasawa theoryMixed sums of infinite multiple zeta-star values with restricted indicesStatistics of entries of matrices from the general linear group over a finite fieldIdeal class groups of certain real quadratic number fields and factorizations of values of certain quadratic polynomialsComputing Theta Characteristics and their Galois action on general curves of moderate genusThe exceptional set of Goldbach numbers within the set of squaresResidue Sums Modulo Products of Two Distinct Odd PrimesPerturbing the Conway sequenceOn the Gauss sphere problemSharp spherical $L^p\to L^4$ extension estimates over finite fields in odd dimensionsInteger symplectic matrices in expanding boxesIntegral trace forms of cyclic number fields without tamenessOn the notion of reasonable functions in Cohen--Lenstra type heuristicsSquarefree values of random polynomials are Gaussian mixturesA Sharp Bound for Additive ComplementsZeros of $E_2$, quasi-periods, and Schwarz mapsSupport periods of polynomials and support-primitive decomposition of constacyclic codes over Galois ringsLocal Gan-Gross-Prasad conjecture for unitary groups: Trace formula approach for epsilon dichotomyHomological branching laws for $p$-adic and mod $p$ representations of ${\rm GL}_2$ over a $p$-adic fieldHigher rank spectral projector estimates and a Stein--Tomas restriction theoremOn Almost MDS codes holding $(n-k-1)$-designs and an open problem on Witt designSolutions of $x^\alpha+y^\alpha=1$ in $\lambda$-Cantor setsLinear Complementary Pairs of MDS Codes from Elliptic CurvesPainlev\'e representations for joint moments of characteristic polynomials from the orthogonal and unitary symplectic groups

arXiv math.NTの新着論文35本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-10-21/ Galois Groups of Shifted Exponential PolynomialsClass polynomial obstructions to canonical congruences for the smallest parts functionSmall sums of roots of unity: polylogarithmic exceptional sets and conditional separationUpper Bounds on the de Bruijn-Newman constant for Dirichlet $L$-functions with primitive real-valued charactersThe Projective Reed-Muller Code from Quartic Curves in the Projective PlaneQuantum Variance for Hecke--Maass Cusp Forms on the Vertical GeodesicBowen--Franks groups and minus class groups of imaginary abelian fieldsNon-vanishing of central values of angular Hecke $L$-functionsOn a Notion of Density Related to Restricted Diophantine ApproximationAn Equivariant Main Conjecture for Branched $\mathbb Z_p$-Towers of Finite Graphs and ApplicationsSmall values of the Riemann zeta-function near the critical lineA determinant formula for multiple harmonic sums and their linear independenceDense Sets with Prescribed Difference Representation FunctionsNew Directions in IrrationalityWeyl Bounds for $\operatorname{GL}_2\times \operatorname{GL}_2$ Rankin--Selberg $L$-functions via Short Spectral MomentsPrimes in short intervals assuming the Riemann hypothesisPost-quantum commutative group actions from oriented superspecial abelian varietiesTheta RelationsSEAC from EAC modulo Schanuel: reduction to algebraic exponentialsUncountably many settled elements are never Frobenius elementsOn the average of class numbers of indefinite binary quadratic formsIrrationality exponents of logarithmic numbers: Values, quotients, and graded approximationSimultaneous visibility in cut-and-project setsEuler systems for self-dual Hecke characters over biquadratic fields with applicationsSimultaneous popular differences for polynomial and linear progressions in finite fieldsA necessary condition for a Romanoff type theoremA Joint Local Limit Theorem for Prime Divisor Counting FunctionsUnconditional Subexponential Arithmetic Circuits\ for Positive Factorial MultiplesSmall and large gaps between zeros of Dirichlet $L$-functionsBorel's computation of the ranks of $K$-theory revisitedGeneric distinction of induced representations: the case of symmetric spacesA cut-and-project set which is not bi-Lipschitz equivalent to a latticeRational analytic prismatizationSupercuspidal blocks and the local Langlands correspondenceThe stacky approach to de Rham-Witt cohomology