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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. 1D AGO

    楕円曲線と素数とガロア群と L 関数 - 2026/5/15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/2026-05-15/ A Generalized Closed Form of Ramanujan-Type Fourier Cosine Transform via Meijer's G-FunctionParity vectors and paradoxical sequences in the accelerated Collatz mapLocal certification of residual squareclasses in $\mathbb Q(\sqrt{2},\sqrt{pq},\sqrt{ps})$: one-bit, affine, and finite-choice Hilbert-symbol frameworksPresentations of Galois groups of unramified extensions of global fields and its predicted distributionKodaira-Neron statistics for rational elliptic curves with $j$-invariant 0 and 1728How Twist Class Redundancy Drives the Prediction of Traces of Frobenius of Elliptic CurvesL-indistinguishability for covering groups of algebraic toriFibonomial determinantsA density version of quaternary Goldbach problemOn Maximal Prime GapsPatterns on elliptic curves beyond Bremner's conjectureOn Vu's restricted box estimate in Waring's problemSolutions for Hecke Sum Questions of Banerjee and BringmannReal geometric transcendence for the Gamma functionConstruction of Non-special Divisors on Kummer Covers With Arbritary Ramification For LCP CodesMcShane-Rivin norm balls and simple-length multiplicitiesSophie Germain, math\'ematicienne extraordinaire: A story stranger than fictionThe R\'enyi entropy of the order of a random permutationImproved Ramsey bounds for generalized Schur equations

    32 min

  2. 2D AGO

    L関数と楕円曲線と素数とモジュラー形式 - 2026/5/14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/2026-05-14/ A connection between low-lying zeros and central values of $L$-functionsComponentwise height bounds for polynomial value-set liftingWieferich Primes and Monogenic TrinomialsOn Galois Embedding Problems Arising from 3-Torsion of Elliptic CurvesLarge values of shifted mixed character sumsFields where torsion forms decomposeTautological modular forms of level two and degree twoAlmost Affine Invariance Over Prime Fields: Green Problem 90Nonexistence of certain classes of generalized bent functions: Revisiting the element partition methodA note on arithmetic progressions with restricted differencesWhen Does the Dice Sum Become Prime?Graphs of Hecke operators in mixed ramification

    21 min

  3. 3D AGO

    楕円曲線と有理点と数論的予想 - 2026/5/13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/2026-05-13/ The 2-part of the Bloch-Kato conjecture, and indivisibility results, for $K_2$ of some elliptic curvesTwo dimensional arithmetic progressions avoiding squaresExplicit determination of a class of permutation rational functions in any characteristicBigness of Canonical Quadratic Points on Curves of Genus 4Weil-Moore animaSquared edge lengths of regular simplices with rational verticesHomological sieve and Manin's conjectureAnalytic Properties of Necklace PolynomialsLocal height arguments toward the dynamical Mordell-Lang conjecture$\ell^{p}$ improving estimates for multilinear forms motivated by distance graphs

    16 min

  4. 4D AGO

    L関数とゼータ値とp進数と素数 - 2026/5/12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/2026-05-12/ Frequency Ordered Ratio Families Arising from the Factorization of $p_{m-1}+1$A Complete Answer to Erd\H{o}s Problem 690Rational Base Descent: A Deterministic Algorithm for Factoring Structured SemiprimesSome Omega results for Dirichlet $L$-functionsMultiple integral representations of the Catalan's constantNon-$R$-trivial proper projective similitudes in type $A_3\equiv D_3$On the Iwasawa $\lambda$-invariant of the cyclotomic $\mathbb{Z}_2$-extension of a family of real quadratic fields in which $2$ splitsRational points on smooth surfaces in $\mathbb{P}^3$ over finite fieldsOn the coefficients of the Taylor expansion of $L$-functions of elliptic curvesLow-Lying Zeros on the Critical Line for Families of Dirichlet $L$-FunctionsOn the exponent of distribution for convolutions of $\operatorname{GL}(2)$ coefficients to smooth moduliAn analogue of a formula of Popov IIThe variation of zeros of the Miller basisLacunary recurrences and 2-adic properties of Eisenstein seriesOn Ramanujan Primes for Hecke-Maass Cusp FormsCongruences of first syntomic cohomology groupsThe Serre Derivatives and Zeros of Modular FormsAn explicit Galois descent for multiple $t$-values of maximal heightProof of a conjecture of Andrews and Bachraoui on a Hecke sumReciprocals of Subsum Polynomials$p$-adic Congruencens of Generalized Euler Numbers and Relations to Even Zeta ValueLearning from Ramanujan: Elementary Approaches to Profound IdeasThe martingale evolution of probability measures defined via the sum-of-digits functionsInvariant measure for double base expansionsRefined obstructions to local-global principles for 0-cyclesDeterministically finding an element of large order in $\mathbb{Z}_N^*$Convergence of orbital integrals on unitary groups in positive characteristicPoisson approximation of random latticesA solution to a strengthened conjecture of Bukh, van Hintum and Keevash on additive bases

    58 min

  5. 5D AGO

    L関数と分布と数体と生成関数 - 2026/5/11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/2026-05-11/ Three-term arithmetic progressions of consecutive powerful numbersOn almost primes solutions to forms of odd degrees in many variablesPoissonian correlations of $\alpha n^d$ mod $1$Anderson generating function of rank-one Drinfeld Module over rational function fieldsA Deterministic Cryptographic Prime Generation Chain over Monogenic Cubic Number Fields and their GeneralizationsWeighted Distributions of Complex Multiplication Orders in Ordinary Isogeny ClassesRemarks on the distribution of Dirichlet $L$-functions along cosetsA strengthening of Chang's lemmaMultifractal analysis of power means for the Schneider map on $p\mathbb{Z}_p$On the refined local Langlands conjecture for discrete $L$-parameters of inner forms of quasi-split disconnected real reductive groupsBrik's sequence: a strange recursionOn ratios of theta functions

    25 min

  6. MAY 8

    モジュラー形式と数列と近似数 - 2026/5/8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/2026-05-08/ A Structure Sheaf for Kirch TopologyMultiple modular L-functions and modular iterated integralsRankin--Selberg coefficients in arithmetic progressions modulo prime powersThe quotient problem for linear recurrence sequencesEvaluation of eight different families of cubic Euler sums$\delta$-Badly approximable numbers and ubiquitously losing setsA multidimensional Szemer\'{e}di theorem in integersOn algebraic twists with composite moduli, IIAsymptotic Statistics of Odd Unimodal Sequences: Rank Distributions and Probabilistic StructuresEquidistribution of Eigenfunctions of Quantum Cat Maps

    14 min

  7. MAY 7

    p進空間と指数和とモジュラー形式 - 2026/5/7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/2026-05-07/ A new perspective on the rank of Mazur's Eisenstein Hecke algebraSpecial periods and some non-tempered cases of the Gan-Gross-Prasad conjectureRational orbits under correspondencesThin subbases of Piatetski-Shapiro sequencesFixed-point lifting and ghost periodic points for Chebyshev polynomials modulo odd prime powersA Ceiling Continued Fraction Approach to the Erd\H{o}s-Straus Conjecture: Heuristic finiteness of counterexamplesSmall values of signed harmonic sums and logarithmic means of multiplicative functions$\mathbb{G}_m$-cohomology of $p$-adic Stein spacesStatistics of the Genus Number of $S_3 \times C_2$ and $D_4$-fieldsExponential sums over singular binary quinticsNon-Expansive Matrix Based number SystemsMultiplicative $f$-ic forms on algebraic varieties arising from Thaine's generalized Jacobi sumsThe Logarithmic Asymptotic Phenomenon for Generalized Markov-Hurwitz EquationsThe top cohomology of principal congruence subgroups of special linear groups over Euclidean number ringsTheta functions and transformations of bilateral basic hypergeometric seriesAppell function proofs of recent and old mock theta function identitiesOn a polynomial involving quadratic residues modulo primesA Synthesis of Hidden Subgroup Quantum Algorithms and Quantum Chemical Dynamics$p$-adic Manifold Learning and Benchmark Tasks from Impartial GamesThe McKay correspondence and local heights for wild-by-tame split metacyclic groupsEnergy and Vertex Energy of Modified Divisor Prime GraphsThe Erd\H{o}s-P\'osa property for prime-length cycles fails (and beyond)

    31 min

  8. MAY 6

    L関数と数体と代数群 - 2026/5/6の論文17本

    arXiv math.NTの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-06/ Sign changes of the Liouville function in arithmetic progressionsMonogenity of pure quintic fields: the power of sievingBehaviour of Certain Crystalline Representations modulo $2$Infinitesimal characters for the completed cohomology of $\mathrm{GL}_n$ over CM fieldsLectures on Condensed MathematicsOptimal embeddings for maximal orders of central simple algebras of degree 3 over number fieldsJoint extreme values of $L$-functions on and off the critical lineA multivariate Strassmann theoremCongruence rigidity of algebraic groupsReal approximation for homogeneous spaces with finite stabilizersOn the largest Sidon subset in a finite subset of $\mathbb{R}^N$Analytic summation of series involving higher-order derivatives of Chebyshev polynomials of the second kind and their applications to convolved linear recurrent sequencesTable-Based Encodings for Conway's Doomsday Algorithm: Vectorized Doomsdays and DoomyearsSigned sumsets and restricted signed sumsets in groups and fieldsCharacteristic-free approaches around Yu's constructionLectures on Analytic GeometrySmall Matrices with Small Inverses: Unimodular Zerofree Cases

    24 min
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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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