プレプリどんどん: math.NT

32:53

素数とL関数とモジュラー形式と表現論 - 2026/8/7の論文19本

プレプリどんどん: math.NT ·

2026/08/07

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/2026-08-07/Rigidity of Averages over the Two Largest Prime FactorsExplicit Algebraic Numbers all whose Integer Parts of Powers are CompositeThe sesquicentennial of the prime number $2^{127} - 1$Trianguline representations and locally analytic principal series of ${\rm GL}_2({\mathbb Q}_p)$Asymptotic uncorrelations between functions with squarefull kernel and functions of invariant averageModularity of Point

ja

27:44

カスプ形式とL関数とガロア表現 - 2026/8/6の論文16本

プレプリどんどん: math.NT ·

2026/08/06

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/2026-08-06/Rational spanning sets of level-one cusp forms from Eisenstein series at prime levelsThe distribution and the structure of the maximum of partial sums in families of trace functionsThe $5$-divisible integer group determinants for the elementary abelian group of order 25On the Burgess bound and Pythagorean triples involving primitive rootsPowers as Fibonacci SumsRegularized Multitangent Functions

ja

25:58

ディオファントス方程式と代数体と格子 - 2026/8/5の論文16本

プレプリどんどん: math.NT ·

2026/08/05

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/2026-08-05/A Classification of Multiply Monogenic Quartic OrdersCounting in Vieta graphs over $\mathbb{F}_p$On pairs of primes with small order reciprocityAdmissible Pairs: A Variation to Pollock ConjecturesMellin Transform Formulas for Anderson Modules and Hints of ModularityErd\H{o}s-Moser Equation in Arithmetic ProgressionsExplicit Jordan decompositions for ideal lattices in CM fieldsNo three algebraic

ja

1:29:36

楕円曲線とL関数とマラー測度 - 2026/8/4の論文54本

プレプリどんどん: math.NT ·

2026/08/04

arXiv math.NTの新着論文54本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-04/Random Multiplicative Functions with Periodic WeightsLjunggren--Jacobsthal and Bailey-Type Congruences for Rectangular Gaussian Binomial CoefficientsAsymptotic independence of class-group 4-ranks in correlated pairs of imaginary quadratic fieldsPositive rational series for reciprocal powers of Catalan's constant and Dirichlet beta valuesNegative bias in moments of the Legendre family of elliptic

ja

17:57

乗法群と素数とp進ホッジ理論 - 2026/8/3の論文10本

プレプリどんどん: math.NT ·

2026/08/03

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/2026-08-03/Multiplicative dependence in the sumset of multiplicative groupsThe Fine-Structure Hierarchy of Prime Biases and the Universal Dominance of $-1 \pmod N$Small points in radical extensions of number fieldsGeneralized Wieferich primes and monogenic trinomialsAn Introduction to p-adic Hodge TheoryA sharp almost sure upper bound for partial sums of random multiplicative functionsOn the size of $h$-fold

ja

39:47

ディオファントス近似とガロア群と分割関数 - 2026/7/31の論文23本

プレプリどんどん: math.NT ·

2026/07/31

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/2026-07-31/The exceptional set of the Goldbach problemMultivariate counting of wild abelian extensionsOn some Diophantine and Ergodic properties of the Schneider map over function fieldsOn the greatest common divisor of $n, \lfloor \alpha_1n\rfloor, \lfloor \alpha_2n^2\rfloor, ..., \lfloor \alpha_kn^k\rfloor$An Asymptotic Bound for Non-covering Congruence Systems over Fq[x]Perfect $2$-codes over arbitrary

ja

30:43

L関数と数体とp進解析 - 2026/7/30の論文18本

プレプリどんどん: math.NT ·

2026/07/30

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/2026-07-30/On purity of Anderson t-modulesInclusions between p-bounded crystalline loci in dimension twoBhargava Gamma functions for determinant-admissible setsOn the transcendence of twisted special $L$-values at non-negative integers in characteristic $p$Improved Bounds for Distinct Multiples in IntervalsOn Oliver's relations between infinite series and infinite productsOn a Question of Lehmer concerning

ja

38:36

L関数と超越性とディオファントス解析 - 2026/7/29の論文23本

プレプリどんどん: math.NT ·

2026/07/29

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/2026-07-29/Extremal Chowla sets and their linear analogues: A human-AI mathematical investigation using Co-ScientistTranscendence of multivariate Mahler functions and algebraic relations between their valuesTwisted automorphic descent to odd GSpin groups and applicationsOn certain $D(9)$ and $D(64)$ Diophantine triplesThe Explicit Hypergeometric Modularity Method IIIDiagonal cycles on Shtukas and the adjoint

ja

51:47

L関数と数値半群とモジュラー形式 - 2026/7/28の論文31本

プレプリどんどん: math.NT ·

2026/07/28

arXiv math.NTの新着論文31本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-28/Jittered sampling and probability measuresTadpole Nahm sum as a WronskianUnshared zeros of Dirichlet $L$-functionsOn the Frobenius Number of Quotients of Numerical SemigroupsFinite length for unramified $\mathrm{GL}_2$: beyond multiplicity one, non-semisimple caseOn the role of higher roots in prime ideal racesExplicit Twisted Hilbert Class Components Beyond Classical IrregularityOn the Comparison

ja

19:28

有界性と剰余と乗法的関数 - 2026/7/27の論文11本

プレプリどんどん: math.NT ·

2026/07/27

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/2026-07-27/Explicit bounds for Buchstab's functionA More Efficient Algorithm for Finding the Number of Permutations of $\mathbb{ZZ}/n\mathbb{ZZ}$ with Distinct Partial SumsFactorial Calculi and the Canonical Stirling Defect of the Prime Bhargava FactorialDensities of arithmetic Hecke triangle group orbitsExplicit height bounds on modular polynomials for the elliptic $j$-invariant, cube root of $j$, and Weber

ja

30:52

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

プレプリどんどん: math.NT ·

2026/07/24

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

ja

20:37

ゼータ関数とガロア群と楕円曲線 - 2026/7/23の論文12本

プレプリどんどん: math.NT ·

2026/07/23

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

ja

27:53

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

プレプリどんどん: math.NT ·

2026/07/22

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

ja

47:36

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

プレプリどんどん: math.NT ·

2026/07/21

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

ja

27:13

素数と楕円曲線と関数体と等分布 - 2026/7/20の論文16本

プレプリどんどん: math.NT ·

2026/07/20

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-$d$

ja

26:07

L関数と超特異曲線と非周期タイル - 2026/7/17の論文15本

プレプリどんどん: math.NT ·

2026/07/17

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

ja

28:41

モジュラー形式と楕円曲線と格子点 - 2026/7/16の論文17本

プレプリどんどん: math.NT ·

2026/07/16

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:

ja

22:04

ゼータ関数と楕円曲線とp進数 - 2026/7/15の論文13本

プレプリどんどん: math.NT ·

2026/07/15

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

ja

1:18:29

有限体とガロア表現と特殊関数 - 2026/7/14の論文46本

プレプリどんどん: math.NT ·

2026/07/14

arXiv math.NTの新着論文46本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-07-14/A counterexample to a subadditivity conjecture of Cohen for Sophie Germain cyclic numbersAffine monodromy and exact value distributions over finite fieldsHyperbolic Arcsine Kernels, Finite Fourier Filters, and Quartic Central Binomial Harmonic SumsInteger Sequences which Are Closed with Respect to Multiplication and whose Sumset does not Intersect the SequenceSimultaneous popular polynomial

ja

21:57

L関数と数論的関数と楕円曲線 - 2026/7/13の論文13本

プレプリどんどん: math.NT ·

2026/07/13

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/2026-07-13/Joint level-weight murmurations for holomorphic newformsMoments of the number of representations as sums of two prime squaresRemarks on a theorem of SilvermanThe complete cubic Walsh spectrum of a permutation-inverse Boolean familyFirst Moment of derivatives of $L$-functions in a nonlinear familyExtension of the Equation $\sum\limits_{j=1}^{k}jF_{j}^{p}=F_{n}^{q}$ to a Family of Lucas

ja

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