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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. 7h ago

    ゼータ関数と指数和と代数体 - 2026/9/2の論文32本

    arXiv math.NTの新着論文32本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-02/ Reducing Every Set of 36 Consecutive Integers to Zero by Differences of SquaresColombo's Determinant ProblemThe shortest harmonic sums with decreasing denominatorFrom Common-Slot Chains to Heisenberg Central Products over Global FieldsSmooth Diffeomorphisms and Mahler's Problem on Liouville NumbersAlmost $k$-th powers in short intervalsExceptional points on Atkin--Lehner quotientsExplicit Exponential Sum Estimates and Approximate Functional Equations for the Zeta FunctionDistribution of Kaneko's val functionA unification of Euler-Maclaurin and Euler-Boole summation formulasImproved bounds in Birch's theorem for forms in many variablesUniversal murmuration and Hecke augmentationCovering Projective Height Balls by Subspaces in Rigid Adelic SpacesSharp lower bounds for shifted moments of Dedekind zeta functionsNonabelian Chabauty for the Thrice-punctured Line over Cyclotomic FieldsAn improvement on the largest prime factor of $n^2+1$New classes of trace-form permutation polynomials and their compositional inversesRegularized spectral expansion of a Rankin--Selberg period and momentsConfluence relations for $q$-analogues of multiple zeta valuesA General Construction of Codes from Drinfeld ModulesOn the Ramification of Quadratic Fields where there is a torsion growthA Proof of Fraenkel's ConjectureTen unknowns for Hilbert's tenth problem over the integersThe First Two Exceptional Boundaries for Sets with Few Subset SumsShifted poles and chamber cancellation for classical Witten zeta functionsInfinite transitivity of tame groups of automorphisms of affine spacesHodge--Tate splitting and Akizuki--Nakano vanishing in positive characteristicDeciding superellipticity and computing the Weierstrass normal formTwo-photon quantum Rabi models - Spectral degeneracy and symmetriesOn Algebraic Integrability of Vector Fields with Rational Function Coefficients that Separate VariablesSharp Threshold for Universality of Rational Canonical Forms over a Finite Field$A_1$ - Coulomb branches over finite fields and Selberg Character sums

  2. 1d ago

    楕円曲線とL関数とモジュラー形式 - 2026/9/1の論文48本

    arXiv math.NTの新着論文48本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-01/ On weighted forms in many variablesStable Solutions to Generalizations of Fibonacci Relations of Higher Order$q$-Analogues of some supercongruences related to generalized Van Hamme-type supercongruencesCounterexamples to O'Neil's Period-Index Problem on Elliptic CurvesVanishing of $\mathrm{Sha}(A/K)[\mathfrak{P}^\infty]$ and its consequences for the anticyclotomic Iwasawa theory of $\mathrm{GL}_2$-abelian varietiesThe average number of rational preperiodic points of polynomials over $\mathbb{Q}$Analogue of Cardy's formula on the 60-degree parallelogram: a modular approachThe Shimura Lift and Hilbert Modular FormsKato's main conjecture for nonordinary modular formsLagrange spectrum for Diophantine approximations of complex numbers with real part equal to one halfLuo's Spectral Large Sieve Inequality on Short IntervalsBloch-regulator Principal Parts of Cyclotomic Iwasawa PseudomeasuresOn the special values of Berndt's generalized $L$-functionCounting integral points near a curve in the n-dimensional Euclidean spaceWallis-type products with polynomial exponents and the Dirichlet beta function at negative integersExact logarithmic Hausdorff and capacity exponents of the non-Brjuno setDifference of the modular function $\omega_{2}(\tau)$, revisitedEuler Characteristics of $\mathrm{SL}_4(\mathbb{Z})$ and $\mathrm{GL}_4(\mathbb{Z})$, and their cohomological consequencesOn supersingular isogeny graphs of Drinfeld modulesThe arithmetic of critical values II: critical elliptic curvesHecke Subalgebras and Local Newforms for the Metaplectic Double Cover of $\SL_2(\mathbb Q_p)$Average twin prime conjecture for elliptic curves in arithmetic progressions$D(N)$-quadruples in upper-triangular $2\times2$ integer matricesLower Bounds for Moments of $L$-functionsMatrix representations and arithmetic properties of jacobsthal numbers via binary 3x3 matricesSets whose differences avoid a bracket quadraticComplete characterization of a class of complete permutation quadrinomials over \(\mathbb{F}_{q^2}\)$13$ unknowns over quadratic integer rings and Lucas congruencesRelative Langlands duality of the Bump-Friedberg-Ginzburg $\mathrm{GSO}_6$-integralJoint Equidistribution of Subspaces of Bounded Height in Rigid Adelic SpacesUnit Indices of Prime-Index Shanks OrdersDensity of the multidimensional Lagrange spectrumAn Explicit Belyi Map for the Wiman Sextic and Cusp Forms for a Noncongruence SubgroupReduced polynomial lifts of APN permutations over Galois rings and effective non-APN boundsNormal and Lognormal Asymptotics for Lattice-Point Counts in Random Translates of High-Dimensional BallsCounting solutions to quadratic forms in eight prime variables of off-diagonal rank $3$Subconvexity of Short $k$-Free Exponential Sums in $\mathbb{F}_q[t]$Large zeta sums and zeros of the Riemann zeta functionBounded gaps between primesQuantitative time-averaged spherical means along equidistributed spirals: Diophantine rates and limits of uniformityLattice Green's function of the hyperkagome lattice: modular uniformization at level 30 from an orthogonal differential Galois groupFlat connections on moduli spaces I: Local (1,0)-extension of the DHS connectionGeneralized Jantzen filtration, hyperbolic restriction, and characteristic cyclesPseudo-spherical representations and types for covers of split toriOn the Babylonian Division of TrapezoidsRecovering Laplacian Lattices from $L$-Functions of GraphsPrime and Touchard Congruences of Mixed-Type Bell NumbersA requested analytic proof of an identity of Dixit, Kumar, and Srivastava

  3. 2d ago

    二項係数とディオファントス方程式と格子点 - 2026/8/31の論文20本

    arXiv math.NTの新着論文20本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-31/ The Sufficient Set of Congruences of Binomial Coefficients for PrimalityFinite and Symmetric Multiple $T$-ValuesDiophantine m-tuples of Triangular NumbersTrilinear Kloosterman fractions II: subdyadic intervals and nearly balanced convolutionsAn Erd\H{o}s-Wintner theorem for second-order linear recurrent basesThe Multiplicative Persistence Conjecture: Resolving the \(2\)-Adic Obstruction for Nonzero Even TargetsDrinfeld modular forms of higher rank from a lattice-oriented point of viewGeneralized Fermat equation over number fieldsLattice points in high-dimensional $\ell^q$ balls with small radiiRational and integral values of rational functions at rational pointsNorm Principles for ${\rm Go}(q)$ and ${\rm Spin}(q)$The Algebraicity Problem for Hard-Core Entropy Constants on the Discrete HypertoriRational torsion on simple genus two JacobiansHarmonic higher weight distributions, Simonis' approach of MacWilliams identity and momentsZero-free columns in character tables of symmetric groupsOn Frobenius rigidity for motivic cohomologyOn the number of $2$-dice games with prime power dice-sizeArithmetic purity of strong approximation for toric varieties with constant global sectionsBetti bounds for spaces of curves on varieties and Manin's conjecture for quartic del Pezzo surfacesOn Manin's conjecture for quartic del Pezzo fibrations

  4. 5d ago

    ゼータ値とモジュラー形式と素数分布 - 2026/8/28の論文30本

    arXiv math.NTの新着論文30本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-28/ Closed geodesics in homology classes modulo sublatticesDiscrete dynamics of Eratosthenes sieve$k$-Lucas Annulus for Polynomial ZerosA Neighbouring-Denominator Case of the Erd\H{o}s--Mahler ConjecturePeriod Relations for Theta Products and Elliptic Integral MomentsThe k-Rank Taylor Family: Canonical Harmonic Lifts, Principal Parts, and Rademacher Series$\mathbb{F}_q$-linear relations among Thakur's multiple zeta values in positive characteristicTorsion-vanishing for Siegel modular varieties via supercuspidal congruencesSpecialisations of the Burungale-Castella-Skinner main conjecture to $\mathbb Z_p$-linesTwo-point correlations of multiplicative functions with dense orbitsThe Cartesian product of exact approximation setsAp\'ery-type approximations and irrationality measures for certain $q$-seriesResultants of dynatomic polynomials of $x^d$Arithmetic purity of strong approximation for cubic hypersurfaces of large dimensionModular periodicity of the Euler up/down numbers at odd prime powersOn variants of P\'olya's conjectureExceptional covers of the projective line with genus-one Galois closure: arithmetic forms over finite fieldsThe Matrix Pythagorean Equation over $\mathrm{GL}_2(\mathbb{Z})$Birch's theorem over function fields with quadratically many variablesOn Consecutive Non-primitive Elements over Finite FieldsOn Piatetski-Shapiro primes from almost primesIntegers divisible by a shifted prime in a given intervalDelta theory of Anderson Modules II: Hodge-Pink structureValue distribution of multiplicative functions along linear fractional sequencesOn polynomial expanders with many variablesMixed Tate motives over number fieldsIsocrystals on unibranch varieties and open immersionsThe Sharp Spectral Transition for Almost Mathieu Operators via Alternating ResonancesA Mixed Robinson--Schensted--Knuth Construction in the Representation Theory of $\mathrm{GL}_n$ over Local non-Archimedean FieldsHankel determinants of Catalan-like sequences

  5. 6d ago

    素数とL関数とディオファントス近似 - 2026/8/27の論文22本

    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/2026-08-27/ On the sum of least prime factors in short intervalsTranscendence of Tonelli--Shanks Power Modulo Infinitely Large PrimesJacob's ladders, new classes of sum variants of almost linear formula and corresponding $\zeta$-functionals and $\zeta$-equivalents of the Fermat-Wiles theoremThe equality cases $P_t(\mathbb{N})=\tfrac12$ for the deconvolved sum-of-digits measuresThe uniform Littlewood conjecture fails on a set of positive Hausdorff dimensionThe divisor function for matricesPseudonullity for fine Selmer groups over multiple $\mathbb{Z}_p^{d}$-extensionsSimultaneous Diophantine approximation on the three-dimensional Veronese curve: the complete Hausdorff dimension storyWell and badly approximable sets, and rapid winningAn elliptic K3 surface X/Q(t) with Mordell-Weil rank 17, I: Formulas for X and base changes of rank 18 and 19Rigid analytic 1-motives and conjugate uniformization of abeloid varietiesArithmetic theta invariants and arithmetic equilibrium measuresA Short Proof of a Conjecture Regarding Quadratic Representations of Practical NumbersThe Mixed Second Moment of Quadratic Dirichlet $L$-functions with Prime ConductorsIntermediate-Range Estimates for Short Weyl Sums and Waring's Problem with Almost Proportional SummandsA Boolean polynomial operator for the Collatz $3n+1$ problemThe second moment of twisted modular $L$-functions and Dirichlet $L$-functions at the central pointSharp extremal asymptotics for Cusick's sum-of-digits bias at fixed Hamming weightIntroduction to the Birch and Swinnerton-Dyer ConjectureAn explicit refined Gan--Gross--Prasad identity for Fourier--Jacobi periods of degree 2 Siegel cusp formsRemarks on Vafa-Witten theory, or how to sit on a wallA Categorical Framework for the Direct Integration of Banach Spaces

  6. Aug 26

    L関数とモジュラー形式と有限体 - 2026/8/26の論文24本

    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/2026-08-26/ Collapsing Fifty Dilogarithm Arguments to Five Terms over $\mathbb{Q}\bigl(u,\sqrt{4-3u^{2}}\bigr)$Poincar\'e duality in Hida familiesFourier Spectral Reciprocity and Canonical Hecke $L$-FunctionsGeometric Realization of Finite Residue Casimirs and Weil Operators via Szeg\H{o} KernelsSieve dimension and search depth for the Erd\H{o}s-Straus conjecture, $n \equiv 1 \pmod{24}$Modular Forms Related to Real Quadratic Fields as Traces of Cycle IntegralsWinning property of counterexamples to Uniform Littlewood's ConjectureA Buium--Coleman bound for the Zilber--Pink conjecture for curves inside abelian varietiesSums of three powerful numbersInfinite continued fractions with a finite alphabet and their applicationsPolynomial representatives of finite-field maps: a sharp dimensional dichotomyFourier Coefficients of the Degenerate Eisenstein Series on Symplectic GroupsOn the Geometry and Shapes of Rank 2 Log Unit LatticesPermutation and exceptionality of rational functions from equivariant elliptic isogenies over finite fieldsA dual reformulation of the complex sin^2-algorithm: exact identities, descent, and finitenessContributions to the theory of the Euler eta functionIntegral quadratic forms over a ring of $p$-adic integersWeil positivity in compact windows: certified two-sided bounds and a Landau--Widom decay lawMetaconjugation and Quadratic FormsOscillation of partial sums of the M\"obius function and zeros of Riemann's zeta functionQuantum Algorithms and Hardness for Point-Count Approximation over Finite FieldsThe Number of Curves of Genus 2 with a Given Refined Humbert InvariantAsymptotic Rounding Laws for Optimal Thresholds in Secretary ProblemsKloosterman sheaves and Bessel functions for generic principal series of finite groups

  7. Aug 25

    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

  8. Aug 24

    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

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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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