プレプリどんどん: math.NT

プレプリどんどん
プレプリどんどん
  • 0.0 (0)
  • Mathematics
  • Updated Daily

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. 17h ago

    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

  2. 1d ago

    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

  3. 2d ago

    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

  4. 5d ago

    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

  5. 6d ago

    L関数とゼータ値とガロア群と格子 - 2026/8/13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/2026-08-13/ The motivic Selmer scheme of the thrice-punctured lineUpper bound for the moment of shifted values of cubic $L$-functions over function fieldsGalois Symbols for a Jacobian and Multiplicative GroupsEqualities among simplest quartic fields: a complete classificationHeight lower bounds for elements of highly composite ringsA $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic Extension of Totally Real FieldsHasse-Witt invariants for trace forms of Jacobi polynomialsDuality formulas for $\widehat{\mathcal{Q}}$-multiple zeta valuesThe 196560 auxiliary-function conjecture for the Leech latticeMultiplicator freeness for restricted-ramification Galois groups over global function fieldsPower sums and Siegel-type zero-free regions for L-functionsA Multiplicative Fourier Proof of the Length-Four Index ConjectureOn The Spectral Properties of Discrete Landscape FunctionsVisible Measures along $\Omega(n)$ and Distribution of Horocycle OrbitsA Proof of a Conjecture on Fixed Perimeter PartitionsEdit distance exponents for irrational rotationsInvariant Functions on $p$-divisible Groups and the $p$-adic Corona Problem IINear optimal three-fold additive energy bound for points on convex curves

  6. Aug 12

    L関数と楕円曲線と多ゼータ値 - 2026/8/12の論文16本

    arXiv math.NTの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-12/ On the Squarefree Values of Degree-$2q$ PolynomialsAn omega result for the first sign change of coefficients of symmetric power $L$-functions of Hecke-Maass cusp formsA proof of a weighted sum conjecture for finite multiple zeta values of level twoAverage root numbers in two isotrivial families of elliptic curvesPermutation polynomials from the trace functionsBockstein Spectral Sequences and Applications to the Tame Fontaine Mazur ConjectureDistinguishing elliptic curves modulo $p$ and identifying images of product representationsA canonical construction of signed $p$-adic $L$-functions for non-ordinary modular forms of weight $\leq p+1$Equationless quadratic Chabauty for non-split Cartan modular curvesA double-sum analogue of Whipple's summation formula and a restricted sum formula for multiple binomial sumsKneserized Anticoncentration and Reverse Absorption for Graham's Rearrangement ConjectureClassification of Fourier summation formulas on a horizontal stripIntroduction to Universal Equations and Characteristic-free ResolutionMutation-preserving generalized cluster algebras and Laurent mutation invariantsFinite monodromy groups in degenerating families and the stability degree of curvesPoincar\'e \`a la Makdisi

  7. Aug 11

    ゼータ関数と分布と表現と分割数 - 2026/8/11の論文37本

    arXiv math.NTの新着論文37本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-11/ Zeta zeros of function fields heuristically equidistribute as genus goes to infinitySharp vertex connectivity of the Markoff graphs modulo $p$Positive Lower Density for Hofstadter's $ab-1$ ProblemOn the Emerton-Gee stack of potentially semistable representationsRepresentations as Sums of Icosahedral and Dodecahedral Numbers: Proof of Pollock's ConjecturesWhich numbers are $u$-invariants of perfectoid fields?Binomial coefficients coprime to 6Short Second Moment of $\mathrm{GL}(2)$ L-Functions via Trivial DeltaEquidistribution for semiabelian varieties over number fieldsMachine-Guided Recurrence Boundary Theory for Nahm SumsOn Sun's Conjectures for Truncated Jacobi-Symbol Determinants via Supersingular Elliptic CurvesProofs of the Conjectures on $SOME(n)$ and $DSOME(n)$ Functions Related to Integer PartitionsThe Mathieu group $M_{23}$ is a Galois group over $\mathbb{Q}$A new hyperbolicity wedge and a joint semicircle limit for Jensen polynomials of Riemann's $\xi$-functionTwisted Bernoulli Zeros in Quasi-Linear Time: Distribution, Depth, and Explicit Hilbert Class ComponentsOn some representations of Metacyclic groups whose integral forms can be computed from a single residual representationModular resurgent structures for vectorsSharp Bounds for Rational Points Near Space CurvesThe minimal obstruction modulus for quadratic formsPlancherel and Poisson summation formulae for a family of affine $\Psi$-bundlesA Sharper Explicit Result for the Sum of Two Almost PrimesA proof of a conjecture on permutation polynomialsAn analogue of Hirose's relation for finite multiple harmonic $q$-series at roots of unityCounting metacyclic fieldsOn the $\beta=2$ Partition function for Dirichlet $L$-functions in the $q$-aspectLarge class of many-to-one mappings over quadratic extension of finite fieldsUniform stratified vanishing and equidistribution on $\mathbb{G}_m^d$On the Godement-Jacquet functional equation for finite matrix monoidsThe Borel complexity of non-Archimedean operator rangesSome new results for Andrews' Kimberling partitionsHankel Transform and $(\alpha,\beta)$ Somos-4 SequencesJacobi Endpoint Pencils and Sharp Interlacing for Centered Binomial SamplesA note on the partition function of a rectangleRestricted generalized Schur numbersSharp $\ell^p$-Improving Estimates for Fixed-Radius Discrete Spherical AveragesA proof of the cyclotomic conjecture and the non-existence of almost Moore digraphsVarieties with prescribed fundamental group schemes

  8. Aug 10

    ゼータ関数と楕円曲線と有限体 - 2026/8/10の論文15本

    arXiv math.NTの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-10/ Refuting a Conjecture of Umans and Wang on Arithmetic-Progression Divisor CoversSquarefree numbers in short intervals: explicit and formalizedAnticyclotomic Iwasawa theory of CM elliptic curves at ramified primesA Combinatorial Approach to Vorono{\"i} TheoryAn extension of Ramanujan-Guinand identity for the Dedekind zeta function and a new formula for $\zeta_\mathbb{F}(2)$ and $\zeta_\mathbb{F}(2m+1)$On semi-stable integral models for Shimura varietiesModularity of Higher Theta Series III: Proof of the Modularity ConjectureTowards the Fontaine--Mazur conjecture for GL(2)Heath-Brown identities for fractional powers of $\zeta$On the Existence of Primitive Polynomials $f(x)=g(x)+ \lambda$ over Finite FieldsSiegel zeros and small gaps between zeros of the Riemann zeta function$\Delta$-separated Sidon sets in additive number theoryUniversality for Random $p$-adic Polynomials and Random Matrices Via the Resultant Distribution MethodA three-dimensional corner configuration involving the Omega functionArithmetic Properties of Mixed Stirling Numbers of the second kind

See All (134)

About

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)

Information

More From プレプリどんどん