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. 19h ago

    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

  2. 1d ago

    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

  3. 2d ago

    ベルヌーイ数と楕円曲線とモジュラー形式 - 2026/7/22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/2026-07-22/ On a certain arithmetic function defined via Bernoulli numbersBinary quadratic forms and elliptic curves with analytic rank oneDivisor moments of polynomials in Fourier coefficients of modular formsOn Diophantine $m$-tuples related to primitive elements of finite fieldsOn the digits of the sum of proper divisorsA Distinct Covering System with Minimum Modulus 7 and Minimal Least Common Multiple 10080On canonical roots of fractional idealsOn the $\mathcal{A}$-transcendence of a Champernowne-type constantUnlocking the Wronskian Tower: A Simplification of the Holomorphic Modular BootstrapCyclic and Constacyclic Codes Over Z4+iZ4A Local Classification of Four-Element Multiple SumsetsZero-cycles on surfaces dominated by products of hyperelliptic curvesGeneric polar divisors and flag residues for root-system zeta functionsBayesian Sequential Quantum Amplitude Estimation for Rare-Event Structural Failure ProbabilityMinkowski dimension and content of complex continued fractionsExploiting Load/Store Leakage of Sparse Vectors for Key Recovery in HQC

  4. 3d ago

    楕円曲線とモジュラー形式とゼータ関数 - 2026/7/21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/2026-07-21/ Exceptional Sets for Certain ${}_2F_1$ Hypergeometric FunctionsA Complete classification of the rank of a certain family of elliptic curvesNon-ordinary primes and congruences for weakly holomorphic modular forms of level 2Density of Unicritical Polynomials over Local Fields with Rational Periodic PointsArithmetic properties of the 2-color overpartition function $\overline{p}_\ell(n)$Solutions to Two Problems of S\'ark\"ozy and S\'os on Additive Representation FunctionsCounterexamples of Friedlander--Iwaniec dual sums conjectureAn explicit uniform cubic wedge for consecutive Toeplitz minors of the Riemann xi coefficientsTwisted Siegel-Weil formulas for $\mathrm{GL}_2$ over non-Galois quartic CM fieldsA Modular Form Proof of the Irrationality of $\zeta\left(3\right)$On the average number of subgroups of the group ${\Bbb Z}_{n_1}\times {\Bbb Z}_{n_2}$A survey on moments of a class of error termsConsecutive non-square non-primitive tuples in finite fieldsTorsion of rational elliptic curves over $\Z_p$-extensions of quadratic fields for $p\geq5$, with a slope analysis for $p=3$On Erdos-Falconer distance problem in even dimensionsGalois-invariant N\'eron--Severi ranks of Fermat surfaces over number fields: a Galois module, closed forms, a threshold, and exact tablesQuadratic residue patterns of length 4 and 5Diophantine analysis and the Braid group ${\bf B}_3$On some sums involving small arithmetic functionsBetti-Whittaker periods under duality: variations and applicationsJacob's ladders and new $\zeta$-functionals and corresponding $\zeta$-equivalents of the Fermat-Wiles theory based on sums of elementary $\zeta$-pulsesBounded trajectories of quasi-rays on homogeneous spaces and Diophantine approximation with weight functionsA short survey the game Bulgarian solitaire and related gamesA positive answer to the Owings's sumsets questionSpace of norms on locally algebraic representationsCounting subsets of integers free of arithmetic configurationsQuantitative Oppenheim in signature $(2,2)$ via determinant valuesDeterminant values on latticesFricke's trace identity and spin groups

  5. 4d ago

    素数と楕円曲線と関数体と等分布 - 2026/7/20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/2026-07-20/ A counterexample to a conjecture of Thakur on Carlitz-Wieferich primesThe Second Term for Strongly 2-Primitive SetsA weighted entropy approach for the quadratic inverse large sieve conjectureFiniteness of the Tate-Shafarevich group over function fields for groups of multiplicative typeSets of unit fractions without two members whose average is a unit fractionIndecomposable translates and degree-$d$ pointsOn the existence of Newman and Littlewood multiples for certain integer polynomialsImproved bounds for multiplicative functions in almost all short intervalsArithmetic unlikely intersections in powers of the multiplicative groupA comment on the number of $k$-th powers inside arithmetic progressionsUpper bounds for moments of analytic ranks of elliptic curves over number fieldsAn improvement on the largest prime factors of consecutive integersEquidistribution for abelian extensions of global fieldsDefining reduction types of curves via minimal regular and minimal normal crossings modelsConjectural Decidability of the Skolem ProblemSingular points for cone actions on the product of certain homogeneous spaces

  6. Jul 17

    L関数と超特異曲線と非周期タイル - 2026/7/17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/2026-07-17/ Beyond the Riemann Hypothesis bounds: A pair-correlation approach to the least prime in arithmetic progression and the smallest quadratic non-residueThe Spine: A Supersingular HighwayThe First Moment of Dirichlet L-functions over Generators of the Character GroupMinimal degree of an isogeny between a supersingular elliptic curve and its conjugateMultiple Clausen values and deformed Ap\'ery-like seriesEquidistribution and the torsor methodOn the Log-Concavity of the D'Arcais Polynomials for Normalised FunctionsDouble $L$-values of Negative Weight Admitting Series RepresentationsOn a character-twisted analogue of Sch\"{a}ffer's equationA Bombieri-Vinogradov theorem for exponential sums over products of k primesFormality for rigid-analytic spaces satisfying the weight-monodromy conjectureAperiodic tile sets from Sturmian latticesSeveral families of incommensurable noncompact hyperbolic Coxeter polytopesAperiodicity and subword complexity in the binary expansion of powers of threeAsymptotic Brill-Noether Existence at the Half-Canonical Degree: Energy Pairing, Cheeger Inequality and Covering Radii

  7. Jul 16

    モジュラー形式と楕円曲線と格子点 - 2026/7/16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/2026-07-16/ A minimal modularity lifting theorem for Siegel modular formsBeyond Mock Modularity: Elliptic Corrections for Higher Dyson RanksOn the Second Moment of $ L (1/2, \mathrm{As}(f) \times \phi)$Study on Morgan-Voyce type polynomials with Euler-Seidel algorithmOn the Second Moment of $L (1/2, \mathrm{As} (f))$Torsion groups of rational elliptic curves over $\mathbb{Z}_p$-extensions of quadratic fields: the $p\le 5$ caseSpectral fourth moments of Hecke--Maa{\ss} cusp formsBernoulli determinants and cuspidal subgroupsGeneralization of Ramanujan's Continued Fractions for Even OrderRepresentability of systems of proportionally modular numerical semigroupsArea correlations related to lattice points in discsThe mean value of the digits of $1/p$Exact classification of elliptic curves $y^{2}=x^{3}-pqx$ with rank $0$ and trivial $\Sha[2]$Strongly complete sets and a conjecture of Erd\H{o}sAn asymptotic Sidon basis of order $3-\eta$Heat Kernel and Closed Geodesic Asymptotics for Nilpotent CoveringsResurgent Lambert series from Feynman and beyond

  8. Jul 15

    ゼータ関数と楕円曲線とp進数 - 2026/7/15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/2026-07-15/ A few remarks on the Baez-Duarte CriterionSolomon zeta functions over arithmetic ordersCurious identities involving Legendre polynomials and Ap\'ery-like numbersOdd Parts of Derivative Period Polynomials and a Logarithmic Transition ScaleLocal statistics and average rank of genus $g$ hyperelliptic curves with a Weierstrass pointOn lower bounds for canonical heights of the map $\phi(X,Y)=(Y,X+Y^D+b)$Euler systems and the symmetric square of a Hida familyCyclic Projective Orbits on Rational Normal Curves and MDS CodesA Note on Iterated Beatty SequencesRanks of Elliptic Curves Twisted by Quadratic Forms$p$-adic Sum-Product, Projections, and Furstenberg SetsGenus and Gonality of Small Curves, Dynamical Uniform Boundedness, and BifurcationA universal leading-residue formula for Witten zeta functions

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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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