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. 23h ago

    乗法群と素数とp進ホッジ理論 - 2026/8/3の論文10本

    arXiv math.NTの新着論文10本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-03/ Multiplicative dependence in the sumset of multiplicative groupsThe Fine-Structure Hierarchy of Prime Biases and the Universal Dominance of $-1 \pmod N$Small points in radical extensions of number fieldsGeneralized Wieferich primes and monogenic trinomialsAn Introduction to p-adic Hodge TheoryA sharp almost sure upper bound for partial sums of random multiplicative functionsOn the size of $h$-fold sumsetsThe least quadratic residue and integers represented by quadratic formsOn Generalized Chebyshev polynomialsSlice and Partition Rank Criteria for Polynomial Zero-Avoidance

  2. 3d ago

    ディオファントス近似とガロア群と分割関数 - 2026/7/31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/2026-07-31/ The exceptional set of the Goldbach problemMultivariate counting of wild abelian extensionsOn some Diophantine and Ergodic properties of the Schneider map over function fieldsOn the greatest common divisor of $n, \lfloor \alpha_1n\rfloor, \lfloor \alpha_2n^2\rfloor, ..., \lfloor \alpha_kn^k\rfloor$An Asymptotic Bound for Non-covering Congruence Systems over Fq[x]Perfect $2$-codes over arbitrary alphabetsSchur Eisenstein series and Schur MacMahon seriesIrrationality of finite logarithms in a congruence-class ad\`ele ringOn a question of Gowers related to Littlewood's conjectureOn the Gow--McGuire Conjecture for Primitive Quadratic PolynomialsRandom linear configurations in dense sets and primesRegularity of Diophantine quadruples over $\mathbb{Q}(i)[X]$Euler-type Recurrence Relations for Partition Functions with Congruence ConditionsEventually greedy best Egyptian underapproximations of rational numbers via optimal controlGinzburg's conjecture on the unramified computation of Eulerian integralsVertex volumes, lattice-minima tails, and height zeta functions for the standard arithmetic quotient of $\operatorname{PGL}_d$Deformation of the absolute Galois groups of number fieldsSchwartz spaces on L-monoids: non-ArchimedeanSumsets and generalized arithmetic progressions in multiplicative subgroups$\mathbb Q\setminus\mathbb Z$ is diophantine over $\mathbb Q$ with $7$ unknownsProof of a Conjectured Ramanujan Type Master Theorem for Powers of the CosecantTypes and collapse for cuspidal representations of groups acting on treesFranklin's identity for $n$-color partitions and companion Beck-type identities

  3. 4d ago

    L関数と数体とp進解析 - 2026/7/30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/2026-07-30/ On purity of Anderson t-modulesInclusions between p-bounded crystalline loci in dimension twoBhargava Gamma functions for determinant-admissible setsOn the transcendence of twisted special $L$-values at non-negative integers in characteristic $p$Improved Bounds for Distinct Multiples in IntervalsOn Oliver's relations between infinite series and infinite productsOn a Question of Lehmer concerning the Comtet NumbersOn the higher algebraic $K$-groups of arithmetically equivalent number fieldsExplicit mock Heegner points and BSD formula on certain Mordell curvesDimensions of Orbit Closures and Discrepancy for Dynamical $p$-adic SequencesKuroda's Class Number FormulaOn a problem of minimal additive complements for not eventually periodic $S$-difference setsOn the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order charactersFormally certifying number field invariantsFuglede's Conjecture on Cyclic Groups of Square-Free Order: The Case of Rapidly Growing Prime FactorsAsymptotics of the spectral determinant of the weighted Laplacian for a sequence of compact Riemann surfaces of infinitely growing volumeSplitting Brauer classes by genus one curves over number fieldsA topological interpretation of numbers

  4. 5d ago

    L関数と超越性とディオファントス解析 - 2026/7/29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/2026-07-29/ Extremal Chowla sets and their linear analogues: A human-AI mathematical investigation using Co-ScientistTranscendence of multivariate Mahler functions and algebraic relations between their valuesTwisted automorphic descent to odd GSpin groups and applicationsOn certain $D(9)$ and $D(64)$ Diophantine triplesThe Explicit Hypergeometric Modularity Method IIIDiagonal cycles on Shtukas and the adjoint $L$-functionOn the Vanishing of the Brauer-Manin Obstruction for Normic BundlesBeyond endoscopy for the symmetric square representation: The simple trace formula caseExtreme values of quadratic Dirichlet $L$-functions with prime-related moduliOn an asymmetric additive energy inequalityHypernatural numbers in arithmetic Ramsey theoryRefined Humbert Invariants in Supersingular Isogeny Degree AnalysisAn Asymptotic Formula in Waring's Problem for Seventeen Fourth Powers with Almost Equal SummandsMultiplicative subgroups are not restricted sumsetsIntersection Cohomology of Igusa Stacks$d$-Translated Unit Sensitive PrimesCollision of Orbits for Families of Polynomials Defined over Number FieldsLocal Moments of M\"obius Fourier Polynomials and the Riemann HypothesisA Criterion for Equidistribution along the $\Omega$ Function over Polynomial Sequences with ApplicationsGraph integrals, Feynman periods, and single-valued multiple zeta valuesKernel-Checked Exclusions for the Erd\H{o}s-Selfridge Odd Covering Problem: Any Odd Covering of $\mathbb{Z}$ Has lcm Exceeding 10000Solution of Erd\H{o}s problem $\# 443$Iterate Wronskians over $\mathbb{R}^d$ as $N$-ary brackets on $\mathbb{R}[x^1,\ldots,x^d]$: the $N$-bonacci numbers bound the highest total degrees

  5. 6d ago

    L関数と数値半群とモジュラー形式 - 2026/7/28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/2026-07-28/ Jittered sampling and probability measuresTadpole Nahm sum as a WronskianUnshared zeros of Dirichlet $L$-functionsOn the Frobenius Number of Quotients of Numerical SemigroupsFinite length for unramified $\mathrm{GL}_2$: beyond multiplicity one, non-semisimple caseOn the role of higher roots in prime ideal racesExplicit Twisted Hilbert Class Components Beyond Classical IrregularityOn the Comparison of the D-new Modular Degree and the Shimura Degree of Modular Abelian VarietiesModularity of Nahm Sums Dual to Zagier's Rank-Three ExamplesA lower bound for the distance between CM points on Shimura curvesMatrix Kloosterman sums and product-trace estimates for semisimple algebrasOn the automorphisms of numerical power monoidsOptimality of Wouter van Doorn's Upper Bound for the Mayer-Erd\H{o}s Farey ProblemSelf-Referential Leading Digits of Exponential Sequences: Arithmetic Structure and Certified SearchAlgebraic values of transcendental power series with geometric coefficient moduliLarger sieve with height function and uniform bounds for integral points on curves over number fieldsSlowly Divergent Trajectories for Weighted Singular Vectors in R^2Decision trees, Frobenius traces, and Weierstrass coefficients of elliptic curvesSigns of Square-Free Fourier Coefficients of Half-Integral weight cusp forms and the Congruent Number ProblemBilinear forms with Kloosterman sums via quadratic charactersOn $C^k$-functions mapping $\mathbb{Q}$ into itself and Mahler's problem on Liouville numbersA Salem-Spencer-Type Construction for Large Subsets of Integer Grids with No Isosceles Right TrianglesNon-isomorphism of rings of integer-coefficient holomorphic functions on disks of varying radiusTiling a triangle into a prime number of congruent trianglesAdditive Bases from Primitive Dyck Words: Regular Underapproximations, Motzkin Coding, and Digit LiftingOn the Thickness of Infinite Generalized Sidon Sets, IIBeyond the Adams ConjectureCyclic codes and cyclically covering subspacesMultiplicative irreducibility of shifted multiplicative subgroups in the extremal caseSimply branched covers of curves and wild conductor exponentsOn the problem of large gcd for disjoint residue classes

  6. Jul 27

    有界性と剰余と乗法的関数 - 2026/7/27の論文11本

    arXiv math.NTの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-27/ Explicit bounds for Buchstab's functionA More Efficient Algorithm for Finding the Number of Permutations of $\mathbb{ZZ}/n\mathbb{ZZ}$ with Distinct Partial SumsFactorial Calculi and the Canonical Stirling Defect of the Prime Bhargava FactorialDensities of arithmetic Hecke triangle group orbitsExplicit height bounds on modular polynomials for the elliptic $j$-invariant, cube root of $j$, and Weber modular function $\mathfrak f$Prime-Interval AlgebrasCongruences for the coefficients of MacMahon-like $q$-seriesPlaying with additivity conditions in multiplicative functionsAutonomous disproofs of the sum-product conjecture over $\mathbb R$ with GPT-5.5 ProExterior power sumsSome aspects of the spectral theory with twisting representations

  7. Jul 24

    ゼータ関数とフィボナッチ数とL関数 - 2026/7/24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/2026-07-24/ A problem on sumset sizes of sets of lattice pointsInfinite Sidon-type sets for zero-sum linear formsInverses of Fibonacci and Lucas Numbers via Rational IndicesZeros of the Dirichlet series of even zeta valuesOn a Diophantine Equation with Jacobsthal and Fibonacci NumbersMurmurations of quadratic Hecke $L$-functions of the Gaussian fieldOn $v_2(q),v_3(q),v_4(q)$, and Andrews' Conjectures 5 and 6On structured cosine sums and applicationsFibonacci, Dirichlet, and Gauss in a single sumThe $p$-rationality of $\mathbb{Q}\left(\sqrt{-(kp+m)}\right)$ and $\mathbb{Q}\left(\sqrt{p(p+1)}\right)$On the Fractional Parts of Polynomials Modulo $p$Zeta functions of $\mathrm{PGL}_n$ over non-Archimedean local fieldsA Weighted Sum Formula for Double Eisenstein SeriesStatistical properties of Hecke correspondencesSimultaneous non-vanishing of Dirichlet $L$--functions, II: Weighted central limit theoremAbsolute minimum of a height associated to a semipositive adelic line bundleGeneric ordinarity for abelian coverings of the projective lineArithmetic progressions in a random set on a budget

  8. Jul 23

    ゼータ関数とガロア群と楕円曲線 - 2026/7/23の論文12本

    arXiv math.NTの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-23/ Integral magneticity of the level-two K3 packet: CM theta lifts and a 2-isogeny trace contractionAdditive and multiplicative densities, prime valuations and symbolic modelsMultiplicative dependence modulo subsetsThe Pila-Zannier strategy for Drinfeld modules and Drinfeld modular curvesOn the value distribution of the Riemann zeta-function with general shiftsExtreme values of quadratic Dirichlet $L$-functionsNon-Archimedean Rigidity and Uniformity for Common Preperiodic PointsRational Spectra for Finite Hadamard Pairs and Bounded Spectral Sets on the real lineThe Significance of Proposition II in Galois' M\'emoire, The Origin of Galois AutomorphismsThe inverse problem for the Steiner-Wiener index of treesAutomorphism groups of curves with simple JacobiansThe sharp exponent for the minimal distance problem

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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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