プレプリどんどん: math.NT

プレプリどんどん
  • 0.0（0）
  • 数学
  • アップデート：毎日

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. 9時間前

    素数とモジュラー形式と楕円曲線 - 2026/5/25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/2026-05-25/ The Poisson Tail Conjecture for Primes in Short IntervalsCullen and Woodall numbers in Padovan and Perrin sequencesDistributions of Iwasawa $\lambda$-invariants of $\mathbf{Z}_p$-towers over supersingular isogeny graphsOn modular forms of rational weight satisfying the canonical second-order linear modular differential equationCongruence Classes of Supporting the Erd\"{o}s-Straus Conjecture I: Tame SolutionsComputing Gamma(p/q) with Beta function valuesConcise and elegant proofs of three formulas for complete Bell polynomialsSets of large values of polynomial multi-correlation functionsDefinability via the tilting correspondenceTop-dimensional rational cohomology of the congruence subgroup $\Gamma_{0,n}^+(p)$Balanced intersection size distributions in projective planes

    18分

  2. 3日前

    素数とガロア群とディオファントス方程式 - 2026/5/22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/2026-05-22/ On the Natural Density of Monic Integer Polynomials with Roots in a Fixed Number FieldPort Fillings for Primary Pseudoperfect NumbersA generalization of the Erd\H{o}s-Sierpi\'nski conjectureA Matrix-Theoretic Exact Formula for Counting Primes in Intervals Between Consecutive Odd Squares2007: An Arboreal Odyssey: A View of Arboreal Galois Representations and Applications, from Early in the Subject's HistoryEscaping Chaos in Random Multiplicative FunctionsRational dynamics of a prime-representing mapThe reverse Goldbach problem and a refined Zsiflaw--Legeis theoremCoset-refined trace statistics, nodal characters, and affine branches in cubic norm toriA Uniform Random-Lattice Tail Bound for the SVP Kissing-Profile ParameterOn the structure of fine Mordell-Weil groups over a $\mathbb{Z}_p$-extension and its intermediate subextensionsThe distribution of semi-integral points on a class of singular cubic hypersurfacesA quick distributional way to reproduce some results of the Riemann zeta functionA Complete Characterization of Heron Triangles with Two Perfect Square Sides and the All-Square Equivalence ConditionArboreal Galois Groups of a PCF Map with Strictly Pre-periodic Critical PointsRethinking the work of Langlands on Eisenstein seriesLines in the prime number graphBell Transforms of Arithmetic Functions: Euler Products, Congruences, and Polynomial SequencesBases of associated Galois modules in general wildly ramified extensions and in elementary abelian extensions of degree $p^2$From Hilbert's Tenth Problem to Quantum Speedup: Explicit Oracles for Bounded Diophantine SystemsGraphs from quadratic forms and vector spaces over finite fieldsClosed geodesics in short intervals for random hyperbolic surfaces

    37分

  3. 4日前

    リーマン零点とp進行列とディオファントス近似 - 2026/5/21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/2026-05-21/ High-Precision Approximation of Riemann Zeros via the Truncated Weil FormEigenvalue Distribution of $p$-adic Random Matrices Among Algebraic Extensions, with an Analogue for $p$-adic Random PolynomialsBounded-box reductions in the Subbarao-Warren problem for unitary perfect numbersOn discrepancy estimates for pseudorandom vectors constructed by the elliptic curve congruential generatorLimiting Distribution and Rate of Convergence for GL(3) Fourier CoefficientsBeyond endoscopy for $\mathsf{GL}_2$ over $\mathbb{Q}$ with ramification 4: contribution of non-elliptic partsGeneralized Fermat equation over cyclotomic $\mathbb{Z}_l$-extensions of totally real fieldsPrecise Asymptotics and Exact Formulas for Tensor Product Energies of Fibonacci LatticesA Local Valuation Criterion for Quadratic-Permutation Interleaved Zadoff--Chu SequencesQuasiautomorphic forms are isomorphic to vector-valued automorphic formsOn a conjecture of Amdeberhan, Andrews and Ballantine for double Lambert seriesBinomial coefficients with divisors avoiding an intervalAn Improved Upper Bound for the Dirichlet Spectrum in Diophantine ApproximationArithmetic Properties of Overcolored Odd PartitionsSharp omega results for the divisor and circle problemsManin's conjecture for semi-integral curves and $\mathbb A^1$-connectednessMeasuring Decidability as Related to Busy Beaver NumbersExtensionalism without Logicism: Ambrose and Extensional LogicAn explicit lower bound for the unit distance problemThe pro-\'etale fundamental group of singular schemesRemarks on the disproof of the unit distance conjectureA strange continued fraction associated with the Romik map

    37分

  4. 5日前

    素数と行列式とディオファントス方程式 - 2026/5/20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/2026-05-20/ The generalized Montgomery-Hooley formula: A surveyShort Salem polynomialsFibonacci Numbers and Vieta Jumping for a Rational Diophantine EquationHal\'asz theorems for Gaussian ideals in sectors and short intervalsOn nonconvex constellations among primes II: (458,3240)A formula of counting divisors in integers rings: a generalization of the divisor function $d_0(n)$On optimal $p$-adic uniformization of unitary Shimura curvesA Determinant Congruence Conjectured by SunSun-type determinant and permanent congruencesTwo determinant evaluations in Sun's conjectures involving Legendre symbolsOn the Goldbach problem with restricted primesThe inhomogeneous Khintchine Theorem in dimension twoSplit-prime supercongruence at the mixed CM point (1/6, 1/3; 1)A Fourier-Free Density-Increment Proof of Roth's TheoremMotivic Galois theory for one-loop Feynman integrals in momentum space

    25分

  5. 6日前

    L関数とp進多様体と格子暗号 - 2026/5/19の論文28本

    arXiv math.NTの新着論文28本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-19/ Boundary Value Problems on $p$-Adic Analytic ManifoldsFactorization of Additive Polynomials and van der Geer--van der Vlugt curves in characteristic 2Explicit Formulas for the Casimir Eigenvalues of $SL(n,\mathbb{Z})$-Maass FormsOne-level densities of large even and odd orthogonal families of automorphic L-functionsGaps of Binary Numerical Semigroups and of Binary Inclusion-Exclusion PolynomialsCounterexamples to integer-coefficient criteria for recurrence along functions from a Hardy fieldA Degree-Two Hilbert--P\'olya Realisation by Causal Riemann-Surface OperatorsOn the finite transcendence of Frobenius traces for abelian varieties over $\mathbb{Q}$Multiplicative independence in the sequence of $k$-generalized Pell numbersLinear independence of periods related to polylogarithmsAn update on the Linnik--Goldbach and Romanov problemsNon-admissibility of some universal supersingular representationsA note on the $q$-adic valuation of $\sigma_k(n)$Decay of weighted cusp counts for congruence subgroups of $SL_2$ over number fieldsOn some constancy of Hecke eigensystems for Drinfeld cuspforms of level $\Gamma_1(\mathfrak{n}\wp^r)$On the Periods of Ikeda-Yamana Lift for the Unitary Group ISum of consecutive powers as a perfect powerClassicality of Hilbert modular formsThree Brillhart-Lehmer-Selfridge primality proofs for Wagstaff numbersCovering systems where the prime divisors of all moduli are only $2$, $3$, or $5$Linear equations in Piatetski-Shapiro primesEpstein vector zeta functions related to the ADE Lie algebrasn-ary elliptic groups, rings, and primes in arithmetic progressionsModule Lattice Security (Part III): Structured CVP Distance on the Log-Unit LatticeRationality problem for norm one tori of tensor products of \'etale algebras and Hasse norm principleExplicit cost analysis of Toom-4 multiplication for incomplete NTT in lattice-based cryptographyIterative maps emerging from cohomological structure of primesGenus formulas for dormant modular curves and asymptotic behavior of their function fields

    46分

  6. 5月18日

    関数体と行列式とL関数と近似理論 - 2026/5/18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/2026-05-18/ Improvements to Jacobian Arithmetic in Global Function FieldsCounting solutions to the quadratic determinant equationExplicitly combing hedgehogs over fields of Stufe 4On the Face Map of the Admissible Set With Iwahori LevelBailey pairs, Eichler integrals and unified Witten-Reshetikhin-Turaev invariantsPositive density for Sun's $2^k+m$ conjectureEisenstein circle packings and the Eisenpint Schmidt arrangementDuality of analytic Hopf algebras and the Amice transformHecke Eigenvalues of Ikeda LiftsOn Drinfeld's representability theoremExtensions of the Furstenberg-S\'ark\"ozy theorem via the arithmetic level-$d$ inequalityA Weyl-type theorem for Diophantine approximations driven by LCA groups and applicationsLocal newforms for generic representations of $p$-adic ${\rm SO}_{2n+1}$: ReductionA new construction of permutation polynomials over $\mathbb{F}_{q^3}$On the number of directions formed by Cartesian products in $\mathbb{F}_{p^2}^2$Evaluation of two determinants involving $q$-integers

    26分

  7. 5月15日

    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分

  8. 5月14日

    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分
すべて見る（74）

番組について

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)

情報

プレプリどんどんの他の作品

その他のおすすめ