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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. 6h ago

    L関数と楕円曲線と数体と素数 - 2026/9/16の論文38本

    arXiv math.NTの新着論文38本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-16/ The Waring-Goldbach problem in short intervals under the Generalized Riemann HypothesisMean Lindel\"of Hypothesis and Prime Geodesic Theorem on Bianchi ManifoldsA formula for the rank over $\mathbb{Q}(t)$ of the elliptic curve $y^2=x^3+At^6+Bt^3+C$Number fields as curves over $\mathbf{F}_1$Simultaneously small continued fraction entropy and base $b$ entropyElementary proofs of congruences modulo 5 for overpartitions with restricted odd differencesRational Points near Monofractal Curves and the Strong Oscillation PrincipleLocal Langlands functoriality for Yu's supercuspidals I: Kaletha's parametrizationLocal Langlands functoriality for Yu's supercuspidals II: Fargues--Scholze's parametrizationTwisted Rational Zeros and Local-Global Principles for Linear Recurrence SequencesHigher Schwarzians of Elliptic Double Covers and Eisenstein--Kronecker FunctionsThe Furstenberg-S\'ark\"ozy theorem for sums of an even number of odd powersAn infinite family of imaginary biquadratic fields with a large class numberLaurent series expansions for the Barnes multiple zeta functionTriple divisor type functions in arithmetic progressions to prime power moduliIwasawa theory of (directe) Cayley graphsThe Local Ghost Theorem in the Tr\`es Ramifi\'e CaseDistribution of squarefree integers with double congruence conditionsPrime-power congruences for level-one eigenformsExtreme values of quadratic Hecke $L$-functionsOn $t$-sumfree sequencesMixed moment of $GL(2)$ and $GL(3)$ $L$-functions in the level aspectAn additive problem in connection with some quadratic real fields with class number onePowers of the Thue--Morse Series: 2-Adic Valuations and Automatic Odd PartsRefined conjectures on Fitting ideals of BDP Selmer groupsModular functoriality for finite groupsUniform Mordell-Lang conjecture for semiabelian varietiesA class formula for effective Anderson motivesOn Sarnak--Str\"{o}mbergsson conjectureImproved bounds for Szpiro's conjectureEven-degree Hermitian Ikeda lifts via Fourier-Jacobi descentHypothetical connection of the theta functions of Dirichlet characters with the real cyclotomic fieldsLoop spaces, twistor $\mathbb P^1$ and tempiric parametersList Decoding, Linear Hashing, and Furstenberg over $\mathbb{F}_q$Block-count constrained harmonic sums: spectral expansion and block-directed Euler-MaclaurinOn a classical zero-sum invariant II: Disproof of a long-standing conjectureSmall degree isogenies between conjugate principally polarized superspecial abelian surfacesA perimeter analogue of Franklin's identity and an inequality related to the parity of parts

  2. 1d ago

    素数と楕円曲線とモジュラー形式 - 2026/9/15の論文69本

    arXiv math.NTの新着論文69本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-15/ The Strong 24-ConjectureTheta functions after WeilDynamical uniform boundedness for unicritical polynomials and elliptic curves of large rankArithmetic Siegel-Weil for the spherical Hecke algebraGalois representations and modularity for twisted moments of Kloosterman sumsPointwise ergodic theorems along sequences of intermediate growthSpherical statistics and phase transitions in high-dimensional latticesFiniteness of an Isogeny Class via EquidistributionPrime and Nonprime Totatives: A Sharp Construction and Exact ThresholdsThe optimal scale in Linnik's microsquare problem for almost all integersGeneralized Wieferich primes and monogenic polynomialsDensity of Vanishing of Certain Eigenspaces of Cyclotomic Class GroupsA Local Proof of Langlands's Second Main Lemma for Local Epsilon Factors over Nonarchimedean Local FieldsModular and Shimura curves $X_0^D(N)$ embedded in $\mathbb P^1 \times \mathbb P^1$Reduction of integer tiles via CRT and base-p digitsPatterns in the Markov numbers and their generalizationsQuantitative linear independence for square rootsTwisted Lubin-Tate Big Witt Vectors and Fleck-Sun-Wan CongruencesOn Decomposition of Drinfeld cusp forms of level $t$Golden-ratio growth of Conway's subprime closureTwo-Height Approximation and Mahler's Problem on Liouville NumbersA Central Limit Theorem for Coprime Pair Counts in Randomly Translated DisksSurjectivity of Finite Rank-Capped Enots-Wolley SequencesThe Jensen--P\'{o}lya program and inequalities for arithmetic sequencesCubic AGM graphs and Hessian $3$-isogenies over finite fields $\mathbb{F}_q$ of odd characteristic with $q \equiv 2 \pmod3$Character sums on an oriented singer conic and explicit Ramanujan double coversAn explicit power-saving bound for S\'{a}rk\"{o}zy's Theorem on shifted primes, assuming GRHBloch cycles and the weak two-variable Chinburg conjectureDynamical generalizations of Chowla's conjecture on short averagesElimination of Ren\'e Peschmann's 968 Remaining Hard Fibers for the Perfect Cuboid ProblemAsymptotic Formula for Biregular OverpartitionsCritical Restricted Sumsets at the Boundary $\lvert A\rvert+\lvert B\rvert=p$Prime Plus a Non-Square-Free Integer: An Elementary ApproachTranscendence of Montgomery Reduction Factor in the Ring of Integers Modulo Infinitely Large PrimesA proof of Sylvester's conjectureThe typical size of Hecke eigenvalue sums is $o(\sqrt{x})$Two-term dilogarithms, mixed-base Nahm sums, and Fricke symmetryEkedahl-Oort strata meeting the supersingular locusLaurent coefficients of Zagier-type zeta function {\`a} la Ishibashi and arithmetic aspects of extended Ramanujan period functionThe Dynamical Mordell--Lang Conjecture for Relatively \'{E}tale Systems over Products of CurvesOn the largest prime factors less than $y$ of consecutive shifted primesAlgorithms for $p$-rationality and for $p$-saturation of unitsAlgebraic independence of the exponential and Weierstrass $\wp$-functionsOn the arithmetic of Tate-Shafarevich groups via Kolyvagin's conjectureOptimising Selberg's method for critical zerosOn the number of solutions to $S$-unit equationsHecke structure of quaternionic modular forms mod $p$Periodicity and Period-Length Bounds for Browkin $p$-Adic Continued FractionsAn extension of algebraic independence of special values for non-lacunary power seriesLong runs of integers with small prime factors and the divisor function of $n!$A Construction of an Extremal Even Unimodular Lattice of Rank $88$Singular automorphic products and BKM algebrasA septic covariant and the Hermite--Joubert problem in degree sevenAnother proof of the $U^4(\mathbf{F}_p^n)$-inverse theoremCauchy laws for zeta logarithmic derivatives and stationary Stieltjes transformsLow moments of Hecke eigenvalue sumsA lattice family with kissing constant $\tau(\mathcal{L}_n) \ge e^{\sqrt{n}}$Zeros in The Character Table of The Wreath Product of The Symmetric GroupMatrices over non-commutative rings as sums of fifth and seventh powersSubset-Sum Density Realization in Locally Finite Abelian GroupsTorsion, Betti rank, and small points in semiabelian schemesThresholds and Fluctuations for Colorful Arithmetic Progressions in Sparse Random ColoringsNoether's problem for $A_6$ and $A_7$Growth beyond exponent $3/2$ for convexity and iterated sum setsAKE principles in roughly deeply ramified henselian valued fieldsAlgebraic Structures on Sets of PartitionsNP-hardness of ideal lattice problemsGeometric realizations of Brauer classes on K3 surfaces from hyperk\"ahler contractionsDynamical Mordell--Lang Conjecture for Higher-Rank Radially Ramified Skew Products

  3. 2d ago

    L関数と楕円曲線とモジュラー形式 - 2026/9/14の論文25本

    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/2026-09-14/ An adelic approach to the Kudla-Millson lifts over totally real number fieldsLocal-global principles for visibility of lattice points on parameterized curvesOn the variation of slopes over moduli stacks of Galois representationsCritical convergence and Hausdorff measures for generalized Flint Hills series$S_h$-sets in abelian groupsA Generalization of S\'ark\"ozy's theorem in function fieldsZeros of Quasimodular Forms Defined by Iterated SumsThe first moment of quadratic Dirichlet $L$-functions in the even hyperelliptic ensembleTight universality of $m$-gonal forms with minimal criterion setsGauss Genus Theory in Characteristic 2Projective Kernels and Replicability in Modular Function TheoryClassification of torsion of elliptic curves over quintic fieldsLarge fluctuations of extended Rademacher random multiplicative functionsProjection and fibering in groups of bounded exponentKronecker sequences beyond the torus: nearest-neighbour distances and best returnsIwasawa theory of CM elliptic curves at potentially supersingular primesKolyvagin's conjecture at non-ordinary primesAn asymptotic formula for a cubic moment of $GL_2$ $L$-functionsJacquet--Rallis transfer for GL(2)Quasipolynomial density bounds for $K$-point configurations in $\mathbb{Z}^d$Eta-Quotient Representations for a Three Parameter Family of Modular Functions Associated with the Rogers-Ramanujan Continued FractionSerre's problem on statistics of Brauer symbolsPoincar\'e duality for pro-\'etale $\mathbf{Q}_p$-local systemsCharacteristic Classes of Adelic Vector Bundles and ApplicationsNon-archimedean Monge-Amp\`ere measures for toric metrics on subvarieties of toric varieties

  4. 5d ago

    L関数と多項式とゼータ値と行列 - 2026/9/11の論文26本

    arXiv math.NTの新着論文26本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-11/ A New Sparse Algorithm for Polynomial GCD over IntegersSums of distinct divisors of factorialsOrdinary 3-Isogeny Graphs and Improvement of Supersingularity Testing for Twisted Hessian Curves over Prime FieldsEffective estimates for exponential sums with multiplicative coefficientsRational Approximations for Reciprocals of Multiple Zeta Values and Trivariate Cauchy NumbersA $p$-adic monodromy theorem for curvesMoments and Non-Vanishing of Maass Form Symmetric Square L-Functions in Short IntervalsLog-crystalline representations and $(\varphi, \Gamma)$-modulesThe irrationality measure of {\pi} is at most 7.101862832357On the bounded-conductor finiteness conjecture in equal characteristicSharp unconditional moment bounds for products of L-functionsInternal congruences modulo powers of $2$ for overpartition tuples with odd partsGeneralized Frobenius Partitions Modulo Powers of $2$Bounded asymptotic bases for linear formsChowla's non-vanishing conjecture over $\mathbb{F}_q(T)$The asymptotic in Waring's problem over function fields beyond twice the degreeOn the Mahler measure and root distribution of the $Q$-polynomial of linksThe 2-Adic Valuation of the Order of the All-Ones Class in the Sandpile Group of a SquareF-theory on K3 surfaces and orthogonal modular formsA dynamic point of view on universality for random matrices over finite local ringsQuantitative universality for products of i.i.d. random matricesRankin--Selberg integrals of opposite conductor--one newformsDivisibility and torsion in higher Chow groups over arithmetic fieldsReversibility and its asymptotic counting in Picard groupA maximal function field of genus $17$ over $\mathbb{F}_{11^2}$Cusp restrictions and Bunke--Naumann invariants with level structure

  5. 6d ago

    楕円曲線とL関数とディオファントス近似 - 2026/9/10の論文33本

    arXiv math.NTの新着論文33本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-10/ A proof of Hare's $\epsilon$ unfair conjectureThe density of long runs of non-$r$-free integersSpectral Algebras of Abelian Cayley GraphsTriple intersections for algebraic curves on the real torusCyclotomy of symmetric polynomialsEffective Euler SumsThe addition on totally positive integers uniquely determines the totally real number fieldGeneric Manin-MumfordRegular Arithmetic Functions, Volume I. Theory, Applications, ExamplesWhat Does MMLU Actually Measure? A Psychometric Audit of Difficulty Structure in Aggregate Benchmark ScoresModels of Elliptic Curves with Maximal 2-adic Image Subject to a Rational 2-IsogenyInteger group determinants for the elementary abelian group of order 49The three Kanade-Russell identities modulo nineFrom Pythagorean Runs to Pell-Generated Cubic RunsAn elementary approach to Sun Kim's general theta function identitiesUniversal norms and de Rham representationsUnramified Motivic Alternating Multiple Mixed ValuesNon-vanishing of symmetric square $L$-functions in the weight aspectPencils of norm form equations and a conjecture of Thomas, IIDiophantine approximation with primes in an arithmetic progressionA Counterexample to a Conjecture of Liu and Qian and a Refined Inverse Theorem for Restricted Sumsets in $\mathbb{Z}_p$Inertial multiplicity bounds for two dimensional projective representations and bounds for the number of $\operatorname{PSL}_2(\mathbb{F}_q)$ and $\operatorname{PGL}_2(\mathbb{F}_q)$ number fieldsFaltings' Isogeny Theorem via EquidistributionQuasi-modularity of symmetric quasi-shufflesSharp local estimates for smooth numbersOn the syntomic regulator of the Hesse cubic curves and $p$-adic hypergeometric functionsInteger group determinants for abelian groups of order 24On the Number of Hecke Eigenvalues of Same Sign on $\mathrm{GL}_n$Irreducibility of truncations of the Catalan generating function$B_h$-sets and perturbations in normed vector spacesThe algebraic geometry of 3-by-3 magic squares of squaresPositivity and Asymptotics for Chenevier's Orthogonal PolynomialsDistinguished standard modules for $\mathrm{GL}_{2m}(\mathbb{C})/\mathrm{GL}_m(\mathbb{H})$

  6. Sep 9

    円分体とp進解析と楕円曲線とL関数 - 2026/9/9の論文81本

    arXiv math.NTの新着論文81本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-09/ Lower bounds for some value sets over finite fields: incidence geometry and Bourgain's group expansion theoremOn the Diophantine Equations Arising from Three-Term $b$-Concatenations in Pell-Type SequencesPrimes with Restricted-Digit DifferencesOn the classification of small cyclotomic integersOn the class number of certain cyclotomic fieldsA $q$-microscope for mock-theta denominator patternsInfinite-order $p$-adic differential equations for Hurwitz-type Euler zeta functions: Higher-dimensional extensions and uniqueness of bounded solutionsThe entropy of coclass one and of SmallGroup(729,45)Central non-vanishing of Dirichlet $L$-functionsFrom dimension four to dimension five in the Tate conjecture for abelian varieties over finite fieldsLattice point visibility along polynomials has density oneNormal Behavior and Periodic Points of a Pseudo-Aliquot Map Associated with the Dedekind Psi FunctionMean Values and Normal Order of a Successive-Iterate Ratio of Dedekind's Arithmetic FunctionBounds on Whittaker Functions for $\mathrm{GL}(n)$Fields of definition of $p$-torsion points of elliptic curves and their ramificationMethods to Find Integer Points on the Elliptic Curve of Factorizable Polynomial EquationOptimization of Quadratic Sieve Algorithm Implementation for Large Integer FactorizationUnsupported Cyclotomic Divisors in Three-Prime Integer TilingsGeneralized Zeckendorf expansions of the 2nd orderA Fricke transformation for cubic-residue eta products of level 13High dimensional Riemann--Roch spaces in linear spaces with small squaresThree Irrationality Results for the Dilogarithm: Rhin--Viola and Viola--Zudilin Constructions at $-1/4$, $1/5$, and $-1/3$Maximising the number of solutions to linear equations$p$-adic properties of division polynomials and algebraic sigma functionsUpper bounds for arithmetic functions over polynomial values via Chebotarev--Sato--Tate distributionsThe method of telescoping continued fractionsCounting Representations of Quadratic FormsA Proof of Bala's Congruence Conjectures for A158690Parameterized partial theta identities and a unified $q$-difference proofThe Normal Form of Smith's MatricesOn a problem of Nathanson related to minimal asymptotic bases and maximal asymptotic nonbasesPrime pairs along rays of prime indicesOn Dynamical Mordell-Lang Conjecture for Split MapAsymptotically optimal packings of arithmetic progressions with prime differences$\vec M$ Versions of Andrews-Gordon Identities RevisitedZeros of Ramanujan-Like PolynomialsResidual finiteness and cuspidal cohomology of Picard modular surfacesSharp Diameter Bounds for Nonnegative Cyclotomic MultiplesA pencil of quadratic forms in nine variables with no member of Witt index fourThe spectrum of $(\xi\alpha^n)$ can be uncountableEquidistribution of small points over finitely generated fieldsThe Artin-Hasse $p$-section: weighted convolutions and $p$-adic recoverySimple critical zeros and distinct zeros of the Riemann zeta-function in short intervalsThe Fibonacci numbers are not an additive uniqueness set for multiplicative functionsRelative $(\varphi, \Gamma)$-modules and $p$-adic differential equationsA Lang-Trotter Problem for Non-Geometric Quadratic InductionsReplication Descent and $J$-Finality of Replicable FunctionsTodd's relation conjecture and binary relations for multiple zeta values in positive characteristicPascal tiling and congruences modulo N in Pascal's triangleMoments of the Crank Statistic for $t$-Core Partitions and OverpartitionsPrescribed Abscissae on Congruent-Number Curves over Simplest Cubic FieldsSecond derivatives of $p$-adic $L$-functions and the Shafarevich--Tate group of rank-two CM elliptic curvesCounting Survivor Sets: Exponential Equivalence with Prime-Admissible SetsSymmetric power L-functions of a weighted hyper-Kloosterman familyA geometric Jacquet--Langlands correspondence for Shimura varietiesFour explicit continued fractions for values of the Lerch transcendent and the Hurwitz zeta functionA Problem on the largest divisor $d$ of $N$ with $d\leq \sqrt{N}$Reduction Modulo Binary Polynomials with Logarithmic Feedback DepthOn a problem of Erd\H{o}s and Nathanson related to minimal asymptotic bases of order $h$On the cardinality of the exception set in Littlewood's discrete conjectureGeneralizing a Pair of Diophantine EquationsThe modulo 9 Kanade--Russell identities and their Nahm-sum dualsRational functions over finite fields with Galois closure of genus zeroSharp order-preserving integer models for short additive equalitiesThe Archimedean place is a blurred interval at infinityCoarse moduli of motivic augmentationsPartial Results on Hankel Determinants and the Corresponding J-Fractions of a Sequence Related to Bernoulli NumbersPolynomial point counts for moduli spaces of curves with marked pointsThe Constant in Thomae-Type Formulas for Eight Points on the Complex Projective LineMicrolocalization and singular supports of constructible \'etale sheavesA Uniform Product-Difference Theorem for Dense Subsets of $\mathbb Z^2$External Difference Families Arising from Two or Three Cyclotomic ClassesThe exponent of harmonic LCM avoidanceSolutions to 6 problems in recurrence and Van der Corput setsLogarithmic $A_{\mathrm{inf}}$-cohomology, Part IIProofs of Some Kanade--Russell Mod 12 ConjecturesMajorization and additive tuples in $\mathbb{Z}_2^n$A Perfectoid Pro-\'Etale Lie Torsor Can Have a Non-Surjective Sen MapOn the $a$-number of Fermat type function fields and some of their subfieldsThe range and omitted values of a certain sequence involving the partition functionThe sharp constant in the Mashreghi-Ransford inequality

  7. Sep 7

    ゼータ値と多項式と分布と格子点 - 2026/9/7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/2026-09-07/ Multiple zeta values in $\lambda$-ringsSIC dimension towers via cyclotomic polynomialsA counterexample to the Chung-Graham-Spiro gap-set conjectureHilbert's Irreducibility for $\mathbb{G}_m$Degeneration of monodromy in the theory of Eisenstein congruences for classical groupsNumerical experiments on the Hardy conjecture for the Gauss circle problemOn multiply induced charactersOn the Divisibility Relation $\sigma(n)\mid\sigma(n+h)$ and a Generalized Erd\H{o}s--Sierpi\'nski ConjectureDistribution properties of generalized polynomialsThe Right Edge of the Zero Set of the Fibonacci Zeta FunctionLattice point visibility along powers of quadratic polynomialsThe Prouhet--Tarry--Escott problem for subsets with small doubling in integral domainsCounting level-raising congruences using modular representation theoryLocal Jacquet-Shalika integrals and modifying factorsProof of a Conjecture of Cui, Gu and Tang on 18-Colored Generalized Frobenius PartitionsF-sets of arbitrary finite widthDistribution of points near the origin in the $d$-dimensional Lagrange spectrumShort arithmetic terms express the cardinality of elliptic curves in Weierstra{\ss} normal form over finite fieldsCone upgrade for effective equidistribution and weighted Khintchine--Schmidt theorem on fractalsColeman Isomorphisms in Syntomic Cohomology and $\mathrm{THH}$A Log-Free $n^{1/5}$ Bound for Chowla's Cosine ProblemArithmetic PolyhedraCounting sets with given doubling via dimension

  8. Sep 4

    楕円曲線とガロア表現と素数と分割数 - 2026/9/4の論文29本

    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/2026-09-04/ An upper bound for an exceptional automorphism groupPerfect numbers, Wieferich primes and the solutions of $\binom{2n}{n}\equiv 2^n \bmod n$Poissonian pair correlations for the three-particle Sutherland modelSkolem-Mahler-Lech in rings of positive characteristic: a shorter proof and a multi-dimensional generalizationFactorization patterns and fields of definition of $\ell$-torsion points on the Jacobians of genus 3 hyperelliptic curvesOn lifting representations and actions on curves of the metacyclic groups $C_{p^s}\rtimes C_m$Representation Defects and Cassels Pairings for Congruent Number CurvesResolving a conjecture on permutation polynomials over $\mathbb{F}_{2^n}$Odd denominators in the Lonely Runner spectrum for six speedsPrime-power Diophantine tuplesThe Klein-V\'elu septic, 2-Division, and modular function fields of level 14The derived set of multiple star polylogarithmsThe $\mathfrak{sl}_2$-algebra structure of multiple Eisenstein seriesSupersingular Elliptic Curves Without Inseparable Small Degree EndomorphismsOvercolored Partition $k$-tuples Restricted by Parity of the PartsArithmetic probability measuresThe groups $\operatorname{SL}_2(\mathbb{F}_{13})$ and $\operatorname{SL}_2(\mathbb{F}_{19})$ are Galois over $\mathbb{Q}$Galois representations ramified at one prime via relative deformation theoryOn the exponential sum over squarefree integersShort character sums of inhomogeneous polynomialsThe subconvexity problem for symmetric square $L$-functions in level aspectCatalan's constant is irrationalSome generalizations of Oort's conjectureConnections between colored restricted $b$-ary and ordinary partitionsExtension Problems for the Vladimirov--Taibleson Operator and the Hierarchical LaplacianFrom Ordered Bernoulli Levels to Critical-Line Geometry: Integer Quantization, Bernoulli Residual Phase, and Prime-Power SpectraA Fej\'er--Riesz inequality for Dirichlet seriesThe Prime Clockwork: A Dynamic Representation of Modular and Multiplicative ArithmeticOort's conjecture for split unitary Shimura varieties

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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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