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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. 2d ago

    ゼータ関数とドリンフェルト加群と素数 - 2026/6/5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/2026-06-05/ Corrigendum to "Isomorphism classes of Drinfeld modules over finite fields"Theorem $(1+1.9)$ on the Goldbach ConjectureThe Case of the Second Smallest Modulus: or why we cannot be arbitrarily careless?Hasse-Weil Zeta Functions Modulo a PrimeOn explicit Fourier expansions of theta lifts to ${\rm SO}(3,n+1)$ arising from elliptic newforms of level oneExotic and inverted Kloosterman sums over semisimple algebrasDrinfeld modules in rank 2 with CM and S-unit j-invariantsArithmetic Wu Formulas and the Generalized Hecke TheoremRecent Progress around Cohen-Lenstra HeuristicsAn Elementary Analysis of the Prime Partition FunctionA Generalization of the Amdeberhan-Andrews-Ballantine ConjectureOn a conjecture on Romanoff type sumsetsNo three algebraic conjugates of degree sixteen sum to zeroArithmetic statistics of isogeny Selmer groups associated to hyperelliptic curvesArithmetic Kashiwara Regularity and Orbit Classification for Filtered Strongly Equivariant $\mathcal{D}^{\dagger}$-ModulesHiggs bundles on the Fargues-Fontaine curveTwo notes on valued fieldsDecomposition Theorem for Perfectoid Rings along General IdealsStability of the smooth Casselman-Jacquet functor

    32 min

  2. 3d ago

    類数とモジュラー形式と整数点 - 2026/6/4の論文14本

    arXiv math.NTの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-04/ Enumeration of modular forms for $\Gamma_1(N)$Voronoi-Hankel TransformsWeighted Recursions for Hurwitz Class NumbersDigit frequencies and class numbersAn Explicit Surjectivity Threshold for Digit Sums of PrimesRepresentations of positive integers by three almost-prime squaresCorrespondence of discrete series representations of $\mathrm{GSp}_{2n}$ and its inner formInteger points close to a transcendental curve: an algorithmic approachThe leading constant in Malle's conjectureKhintchine's Theorem for Symmetric matrices via Flows on the Space of Symplectic LatticesA Note on Jacobians with Prescribed FactorsPrimitive inhomogeneous approximation for fixed non-singular frequenciesLocal-global conjugacy questions for affine extensionsStochastically evolving ellipsoids with symmetries

    24 min

  3. 4d ago

    ディオファントス近似とモジュラー形式 - 2026/6/3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/2026-06-03/ A Note on Diophantine Approximation with Restricted DenominatorsA Fibonacci theorem for Collatz trajectories via modular graph structureGeneralized polygonal number representationsExplicit generators of the space of modular formsOn the Schematic and Analytic Constructions of the Local Langlands CategoryOn the Argument of the Lerch, Chowla--Selberg Formula and CM Values of $\eta(\tau)$Diagonal Condition in Multiplication Table of $\displaystyle {\, \mathbb{Z} [i] / (\alpha) }$Planes in quadratic 4-space and associated shapes of latticesMajorization and Gaussian-Mass Maximality for Construction-A Lattices from Binary Self-Dual CodesThe Fontaine operator at cusps of modular curves at infinite levelPair correlation of $\alpha n^{\theta}$ for random $\theta$A $q$-Analogue of a Supercongruence Related to Van Hamme's (B.2) SupercongruenceSome new results on determinants and permanentsA note on partitions in the image of pre$_2$On maximal Dynkin friezesA conjecture of Glasby, Praeger, and Unger on permutations of $S_n$On $\mathbb J$-strata with Parahoric Stabilizers in Affine Deligne-Lusztig VarietiesCassini's identity for k-bonacci numbersAn Iwasawa-type asymptotic formula for multiple $\mathbb{Z}_p$-coverings of graphsOn the prime field spherical restriction conjecture in four dimensions: breaking the Stein-Tomas exponent and applicationsComplete Families of Curves in the Moduli Space of Genus g CurvesHalf of finite abelian groups are unit groupsThe Abel--Jacobi map over the twistor-$\mathbb{P}^1$ and real local class field theory

    38 min

  4. 5d ago

    格子と楕円曲線とp進体とガロア群 - 2026/6/2の論文36本

    arXiv math.NTの新着論文36本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-06-02/ Perfect powers in the product of denominators of elliptic curvesOn $\mathbb{Z}_2$-extensions of real quadratic fieldsPrescribed realisation of longest runs in continued fractionsPolylogarithmic Analogues of Euler's ConstantOn the $P(t)$-adic Littlewood conjecture in odd characteristicsLocating a shortest vector in certain $2$-dimensional latticesOn indecomposable elements in latticesThe categorical local Langlands conjectureA further study of polynomial $g_{n,q}$ over finite fieldsTopological and Diophantine properties of lattice subset projectionsTame Galois Groups, Linking Numbers and MildnessPiatetski-Shapiro Primes in short intervalsAdditive Rigidity for Images of Rational Points on Abelian Varieties II: The General CaseA Sharp Reverse Minkowski Inequality for the Gaussian Mass of Integral Unimodular Lattices Through Rank $32$Sums of Apostol's M\"{o}bius functions of order $k$Distinguished defining polynomials for extensions of p-adic fieldsGeometrization of summation formulae for quadricsHigh moments of random multiplicative functions twisted by Fourier coefficients of modular formsIntrinsic Subgroups and the $\ell$-adic Galois imageOn a problem on a generalization of Euler's totient functionOn cyclotomic matrices related to Kloosterman sums over finite fieldsInfinite Moments of Class Groups for Solvable Fields with a Normal Abelian SubgroupApplications of a formula of Maesaka-Seki-Watanabe type for multiple harmonic $q$-sumsUniversality of the cokernels of random $p$-adic matrices with inhomogeneously balanced columnsOn the unit equation $\varepsilon+\delta=n$ in cubic fieldsOn periods of Elliptic curvesArithmetic regularity as an alternative to transferenceCyclotomic factors of rational necklace functionsAnalogues of the Lindel\"of Hypothesis for the Barnes multiple zeta function and related problemsFinding the complement of an elliptic curve inside a JacobianThe Primes are $2$-AccessibleInfinitely many holes in connectedness loci for collinear affine iterated function systemsNon-Archimedean Massera-Schaffer-Maligranda-Pecaric-Rajic InequalityHitting Arithmetic Progressions at the Square-Root ScaleThe 1/2-Conjecture for $q$-Binomial Coefficients with Fractional IndexThree-color van der Waerden numbers grow super-exponentially

    59 min

  5. 6d ago

    密度と超越性と楕円曲線と分割統計 - 2026/6/1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/2026-06-01/ Density of subsets of squarefree elements in certain Dedekind domainsOn the density of rational lines on diagonal cubic hypersurfaces, IITranscendence and measures via the refined Diophantine exponentAn Improvement of Konstantoulas' Density ConstantPerfect powers among Jacobsthal numbersIntegrality of Averages of Roots of Unity and Perfect IsometriesThe Bogomolov property for $p$-supercuspidal eigenformsVisible 2-torsion in the Tate-Shafarevich group of an elliptic curveOn the asymptotic average diameter of blocks of uniformly distributed sequences and related resultsMoments of partition statistics, Bell polynomials and Eisenstein-type series

    18 min

  6. May 29

    q級数とp進数と関数体と篩法 - 2026/5/29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/2026-05-29/ On Ramanujan's $q$-Continued Fractions of Order Thirty-Four and Sixty-EightAsymptotic formulas for sums of elements from a multiplicative groupOn a conjecture of GoldmakherMersenne numbers and the doubling mapWeierstrass semigroups at totally ramified places of degree one on linearized function fieldsOn the power of the discriminant of a univariate polynomial as a certain determinant in positive characteristicInducing Whittaker Functions from Higher RanksThe weighted large sieve through ParsevalIwasawa invariants of Bertolini--Darmon Theta ElementsCanonical extensions of $p$-adic shtukas on toroidal compactifications of Shimura varietiesBourgain's $L^2$ pointwise ergodic theorem over function fieldsSubsequence Sums in PermutationsSuperspecial plane quintics with large automorphism groupsLift-independence problem in the $P$-adic Simpson correspondence for curvesA note on Azumaya algebras and one-forms

    26 min

  7. May 28

    ゼータ関数とディオファントス方程式 - 2026/5/28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/2026-05-28/ Some Remarks on $\tau$-Congruent NumbersLinnik's problem for multiplicative functions$Q$-difference analogue of the Stothers-Mason theoremGood Integers: (T,k)-Subclasses and Applications to Galois Duality in Coding TheoryMixed thresholds in the Lonely Runner ConjectureTransformation Formulae and Applications for Double Lambert SeriesAdditive Diophantine Equations involving S-Units, Factorials and Ternary Recurrences with repeated rootMetrical theory of signed Engel expansionsA unified proof of conjectures on the spaces of multiple $q$-zeta valuesOn the analytic continuation of the Riemann zeta functionEquidistribution of CM points and RM curvesThe sum-product conjecture is false for real numbersRiemann and the logarithmic derivatives of zetaProofs of Two Positivity Conjectures of GuoBrauer--Manin obstruction from failure of Kodaira vanishing in positive characteristic

    26 min

  8. May 27

    ゼータ関数と数体とモジュラー形式 - 2026/5/27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/2026-05-27/ A note on uniform version of Littlewood inequality and Fibonacci numbersOn planar functions over $\mathbb{F}_{q^3}$Problems in additive number theory, VII: The structure of additive $h$-bases for $n$Connected components of the ranges of twisted divisor functions on number fieldsNotes on congruence zeta functions via a Berkovich approachTowards a generalized Maeda conjecture for modular forms with quadratic nebentypusSaturation and No-Go Theorems for Scalar Poisson Certificates of Gaussian Mass MaximalityLower bounds for the Hausdorff dimension of expressible setsUltra Kolyvagin systems and higher Fitting ideals of Iwasawa Selmer groupsWords for generalized Markov numbersProducts involving the real parts of Jacobi sums and related cyclotomic matricesEkedahl-Oort strata under natural embeddings of orthogonal and unitary Shimura varietiesThe Northcott Property for Composites of Number Fields of Bounded DegreeInhomogeneous Approximation by Sums of RootsThe V/L recursion for Macdonald's 7th Variation Schur polynomialsPrime Certificates for Exact Vertex-Coprime Ramsey NumbersRank-two recurrence results for polynomials and questions of dynamical Mordell--Lang typeA Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in $\mathbb{R}^4$Structural properties and tilting correspondences of perfectoid towers

    32 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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