プレプリどんどん: math.NT

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arXivのmath.NT (数論) の新着論文の概要をAIで日本語でお届けするポッドキャストです。 情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)

  1. 3時間前

    ゼータ関数とL関数とp進解析と格子 - 2026/8/25の論文45本

    arXiv math.NTの新着論文45本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-25/ A non-abelian large sieve and Artin's primitive root conjectureRational Points and Brownian MotionDense ascending waves: A resolution of the Alon-Spencer conjectureHow many points has an affine algebraic set in residue classes modulo n ?Positive Logarithmic Hausdorff Measures of Exceptional Sets for the $p$-adic and $t$-adic Littlewood ConjecturesGeneral Stirling-Ramanujan Constants are exponential periods and applicationsPrime multipliers of order ten: norm spectra, local charts, and selective liftingCoherent sequences of matrix spectraA Classification of Small MSTD Sets in Arbitrary FieldsA note on Zlobin's noteUniformity in rational torsion and small points on abelian varietiesThe strong form of Van der Waerden's conjecture via twisted ChowlaThe normalized approximation function for multiple zeta-star valuesYun's zeta function and the overorder zeta function for Gorenstein cubic ordersKohnen--Ueda local newformsThere and back again with Kaprekar 2-cyclesOn the constant in Klartag's theorem for lattice packings in high dimensionsOn uniqueness in equivariant Iwasawa theoryCounterexamples to Dujella's conjecture on integral points on the elliptic curve attached to a Diophantine tripleThe Period-Three Secondary Term in the Mean Value of $L(1/2,\chi_D)$ in the Hyperelliptic EnsembleCyclotomic norm congruences for zeta values and modular $L$-valuesGenerically Ordinary One-parameter Hyperelliptic Families are DenseOrthogonality Defects of HKZ-Reduced BasesOn the binary representation of powers of $3$$p$-adic Equidistribution of Special Loci in a Product of Modular CurvesRepresentations with k-generalized Fibonacci numbersEuclidean RingsA deterministic sin^2-type algorithm for complex cubic irrationalities with exact periodicity certificatesExtreme values and logarithm laws for toral translationsAn elementary note on three consecutive powerful numbersOn the graded center of $D(G)^c$Quantitative Logarithmic Chowla Correlations Uniformly over Growing ShiftsPower-saving bounds for Thue--Mahler and Mordell equationsThe classification of generalised Kummer surfaces in positive characteristicAdmissibility of Bernstein centersNorm-Query Complexity of Algorithmic Problems in Finite-Dimensional p-adic Normed SpacesThe Partition Pairing Theorems IMCSI: A Masked Commutative Supersingular Isogeny Key Exchange with Blinded Ephemeral KeysMarshall Quotients of the Rings $\mathbb Z/n\mathbb Z$A motivic derived Fourier transformOn the directions occurring in lattice-line coverings of the integer planeThe asymptotic behavior of the rectangle partition function $p(m,n)$An Exact Counting Formula for the Mutual Position of Two Plane ConicsThe Gao-Zhuang conjecture for the Heisenberg groupThe number of sum-free subsets of lattice cubes

  2. 1日前

    原始根と楕円曲線と数論幾何と和の評価 - 2026/8/24の論文13本

    arXiv math.NTの新着論文13本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-24/ A note on least primitive rootsPolylogarithmic Chabauty--Kim loci over number fieldsMaximal and minimal curves of the form $y^3=x^{(q^2+1)/2}+x$Euler characteristic of the Selmer group attached to an Artin representationComplete Resolution Of A Family Of Twisted Thue EquationsArithmetic $\mathcal{D}$-modules over Laurent series fields: the relative caseAdjoint Closures of Singular Pairs of Quadratic Forms and a Pfister-Type CriterionLegendre polynomials and complex multiplication, II: class numbers of quadratic fields and genus 2 supersingular polynomialsAnabelian Geometry in FamiliesSums of products of Kloosterman sums to prime power moduliAlmost sure upper bound for sums of random multiplicative functions and critical chaosOn nearly consecutive sequences without long arithmetic progressionsA new lower bound for two-color van der Waerden numbers

  3. 4日前

    素数と近似と表現と不変量 - 2026/8/21の論文21本

    arXiv math.NTの新着論文21本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-21/ Totally positive field extensions and the pythagorean indexAn Algebraic Approach to the Fundamental Theorem of AlgebraMany Representations as Sums of Three Prime Cubes${}_5F_4$ evaluations and a family of $\pi^2+\log^2$ identitiesOn the Finiteness of Isolated $j$-invariants for $X_1(N)$Quantitative bounds for sets lacking polynomial progressions with shifted prime differenceArithmetic partial differential operators on ramified extensions of $\ZZ_p$Forced Shadows of an Obstructed Hyperbolic Kac-Moody DenominatorRibet Points, geometric divisibility sequence and order of reductions on semiabelian varietiesThe irrationality measure of arctan1/2 is at most 8.585166Gap spectra and densities of slow Fibonacci walksExceptional sets for compositions involving Euler's function,the divisor-sum function and Dedekind's functionSimultaneous approximation to pairs of real numbersModularity theorems for Eisenstein congruences in prime-power levelVariation of Iwasawa Invariants for Ordinary RepresentationsSimplex--center configurations in dense subsets of Euclidean spaces and the integer latticeOn the number of solutions of systems of diagonal equations through diagonal GP-graphs: the general and the Hermitian-form casesNon-equivalence of pro-$p$-Iwahori invariantsSpectrum of the refined Diophantine exponentThe arithmetic de Rham stackThe Local Langlands Correspondence for Middle Supercuspidal Representations of $p$-adic $\text{GL}(2n)$

  4. 5日前

    素数とディオファントス方程式と和 - 2026/8/20の論文23本

    arXiv math.NTの新着論文23本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-20/ On sums of two primes and six Fibonacci numbersProperties of Kloosterman sums for long Weyl element on GL(n)Rational Solids with Equal Surface Area and VolumeSharp Transitions for Localized Solutions to a Diophantine InequalityMean Value Estimates for a Real-Exponent Analogue of Waring's ProblemAsymptotics of Hecke polynomial coefficients on the Atkin-Lehner eigenspacesOn $p$-adic solubility of $Ax^\ell + By^m + Cz^n = 0$Hecke-type action on higher order Herglotz-Zagier functionOn the Diophantine Equation $p^x+ (2p+1)^y =z^2$ with Consecutive ExponentsA Positive Proportion of the Reduced D'Arcais Polynomials is not HurwitzUniversal Ramanujan-type congruences for prime-detecting quasimodular formsThe Position-wise Prime Digit Distribution Theorem: A Formal Proof of Position-wise Digit Equidistribution in the Prime NumbersOn a classical zero-sum invariantMatchings and product growth in modular abelian independence groupsOn a conjecture on the Kasami APN function: reductions, structure theorems, a proof for $k\bmod n\in\{1,2,n{-}2,n{-}1\}$, and exhaustive verification for $n\le 13$Finding suitably generic points on curves with an application to the construction of rigid real closed fieldsSpectral convergence of hyperbolic surfaces and quantum ergodicityLonely Runners over Function Fields: Quantized Phase--Riesz productProducts of trees and ${\rm PGL}_2$-torsors over the punctured affine lineComplexity-sensitive additive energy and off-diagonal Young inequalities on bounded-degree algebraic varietiesEureka: Task-Conditioned Meta-Agent Orchestration for Scientific DiscoveryA simple construction of the automorphic residual spectrumA random walk on p-groups with a symmetric perfect pairing

  5. 6日前

    素数と楕円曲線と格子と有限体 - 2026/8/19の論文18本

    arXiv math.NTの新着論文18本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-19/ Prime-Exponent Transition Geometry and Divisor Barriers Between Consecutive Highly Composite NumbersAlgebraic Lattices Arising from Congruence Submodules in Subfields of $p$-th Cyclotomic FieldsMild p-Class Tower Groups of Imaginary Quadratic FieldsOn Buzzard's TheorenShifted second moment of Gaussian Hecke $L$-functions $L(s,\lambda^k)$A central limit theorem for prime geodesics on random surfaces of large genusRibet bimodules and principally polarized superspecial abelian varieties with quaternion actionAlternating generalizations of Mizuno's product formula via modified gamma functionsInfinitely many primes with a fixed Frobenius field for an elliptic curve over $\mathbb{Q}$On the p-adic Wirsing problemOn the integral $2$-adic Tate module of elliptic curvesPrincipal nonsingularity of the Fourier matrices of orders \(70\) and \(143\)Intersecting families and nonvanishing multivariate polynomials over finite fieldsSquarefree polynomials with missing digitsProducts of point counts of higher genus curves over finite fieldsOn the Hidden Pascal Symmetry and Moment Constraints of Vector Representatives in Quebbemann's 64-Dimensional LatticeAsymptotics of the Tchoukaillon array and a conjecture of BeluhovA Kernel-Checked Exclusion Certificate for Erd\H{o}s Problem 647

  6. 8月18日

    ゼータ関数と指数和と楕円曲線 - 2026/8/18の論文35本

    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/2026-08-18/ A descent-set obstruction for the Casas-Alvero conjectureExponential sums over primesReciprocity for The Short Twisted Second Moment of The Riemann Zeta FunctionBounding The Number of Zeros Near the Central Point in Families of Cuspidal NewformsTranscendence of continued fractions over function fields and a quantitative version of Uchiyama's theoremAlgebraic geometric framework of Rogers--Ramanujan identitiesInterlacing for zeros of the Serre derivative of Eisenstein seriesPositive quasimodular forms and the sign uncertainty principleSingular-weight Conway-invariant Jacobi forms of index fourProof of a Conjecture on Primitive Quartic Polynomials over Finite FieldsFormal finite multiple zeta valuesCycles of supersingular elliptic curves for pairing-based proof systemsBeyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 5: cancellation theoryThe principal series 2-representation for $\mathrm{GL}_n\times\mathrm{GL}_n$ over a 2-dimensional local fieldAn exact formula for Erd\H{o}s' problem 1005Hausdorff dimension of $\tau$-approximable points on self-similar sets in $\mathbb R^d$Large values of quadratic character sumsBetter than square-root cancellation in Piatetski-Shapiro sequencesWeighted singular vectors in common-base self-similar setsOn the Hausdorff dimension of the difference sets between typical and normal numbersHeight Rigidity for Entire FunctionsOn integers that are representable as the sum of two unitsOn the residual Eisenstein cohomology of unitary groupsSimple and distinct zeros in a prime-modulus Dirichlet family at mesoscopic shrinking heightSuperspecial Points on Shimura CurvesA dynamical generalization of Chowla's conjecture on averageThe multiplication table problem in large dimensionsOort's conjecture on supersingular abelian varieties in odd characteristicSubconvexity of Short $k$-Free Exponential SumsGalois descents of certain multiple polylogarithmsM\"obius Covariance and Coefficient Duality: From Bernoulli Series to Enumerative ApplicationsThe equality between the Erd\H{o}s-Ginzburg-Ziv constant and the short product-one constant for finite nonabelian groupsA six-functor formalism for syntomic cohomologyDegrees of Genus-Two Split-Jacobian Loci and Humbert-Form ReconstructionMatrix group $\Lambda$-distributions

  7. 8月17日

    代数曲線とゼータ関数と合同式 - 2026/8/17の論文19本

    arXiv math.NTの新着論文19本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-17/ On the Existence of Hyperelliptic Curves over $\mathbb{Q}(T)$ with Certain Jacobian RanksMore than two thirds of the zeta zeros are simple and on the critical lineSome Dwork-type $q$-supercongruences from a $_6\phi_5$ summation formula$p$-numerical semigroup of the sequence of consecutive odd integersA structural trace identity and certified spectra for the Richelot-Brandt graphA Kubilius model for sieve-theoretic sequencesRatio of sum of digits functions in two basesHurwitz class number relations and mock modular formsNew Congruences Involving $p$-adic dual sequencesShimura curves of discriminant 14 and 15 and associated Heun FunctionsThe inverse Galois problem of iterated Galois groups and their fixed-point proportionIntensional semantics for comparison problems in arithmetic geometryMultiplicative chaos from random multiplicative functionsAlgebraic curves admitting automorphism groups of large prime square orderSharp refined-direction Kakeya estimates in finite Heisenberg groupsCounting non-attracting subtrees and the equidistribution of repelling pointsSemi-abelian reduction of Albanese varietiesNear diagonal additive energy bound for points on algebraic surfacesCompressive Domains and a Bound for the Number of Components of the Fixed Locus of a Self-Map of the Berkovich Line

  8. 8月14日

    楕円曲線と素数とモジュラー形式 - 2026/8/14の論文31本

    arXiv math.NTの新着論文31本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-14/ On Waring--Goldbach problem with mixed powersGeneralized Addition Theorems for the Jacobi Elliptic FunctionsA conditional arithmetic obstruction to the prime numbers as a spectrum of a probability measureFinding all cospectral mates over a number fieldSpecial Values of Shifted Dirichlet Series from an Adjoint Map on Almost Holomorphic Modular FormsDensity bounds for permutations avoiding monotone arithmetic progressionsEscalations and criteria over real quadratic fieldsAlgebraic constructions of point sequences with quasi-uniform two-dimensional projectionsUniform bounds on prime levels of abelian division fields of elliptic curves over number fields without rationally defined CMFinite-Sum Realization of Archimedean Asai and Exterior-Square $L$-FactorsOn the Lorenz-Fibonacci sequences and substitutionsCyclic permutations of large subsets with polynomial values in multiplicative subgroups of finite fieldsA study of degenerate Bernoulli and Euler numbers via operatorsAnalytic rank one propagation in Hida familiesOn $\mathcal{B}^4$-almost periodicity for a class of arithmetical functionsGeneralizations of the Christoffel-Darboux formula and congruences involving Ap\'ery-like numbersInfinitely many elliptic curves over $\mathbb{Q}(i)$ of exact ranks 4 and 6 with $j$-invariant 1728Asymptotic Analysis and Phase Transition of the Bessel-Kuznetsov Transform with an Oscillatory PhaseOn a conjecture of Corradi and KataiConvolution-type Bombieri-Vinogradov theorem with well-factorable Weights, and its applicationsLocal Minkowski units in non-abelian extensions with cyclic Sylow $p$-subgroupsSome convolution identities for mock modular forms arising from the theory of holomorphic projectionGross vectors modulo 2 and elliptic curves of prime conductorIntersective Polynomials and Universal Separation of Divosor ProfilesThe distribution of $k$-free ideals in ray class groupsMultiplicative Subgroups of Prime Fields Are Not SumsetsThe Five Distance Theorem For A Convex NormTame fundamental groups of rigid spacesEuclidean SVP is deterministically NP-hard to approximate within any constant factorSpectral and Isoperimetric Bounds on Flat ToriOptimal local convergence criteria for integer and Gaussian integer continued fractions

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arXivのmath.NT (数論) の新着論文の概要をAIで日本語でお届けするポッドキャストです。 情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)

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