プレプリどんどん: math.NT

49:09

楕円曲線とガロア表現と素数と分割数 - 2026/9/4の論文29本

プレプリどんどん: math.NT ·

2026/09/04

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/2026-09-04/An upper bound for an exceptional automorphism groupPerfect numbers, Wieferich primes and the solutions of $\binom{2n}{n}\equiv 2^n \bmod n$Poissonian pair correlations for the three-particle Sutherland modelSkolem-Mahler-Lech in rings of positive characteristic: a shorter proof and a multi-dimensional generalizationFactorization patterns and fields of definition of $\ell$-torsion points on the

ja

46:38

ゼータ関数と楕円曲線と数論的近似 - 2026/9/3の論文27本

プレプリどんどん: math.NT ·

2026/09/03

arXiv math.NTの新着論文27本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-03/A lower bound for the Call-Silverman height in cyclotomic extensionsOn the cuspidal cohomology of Iwahori congruence subgroups of $\mathrm{SL}(3, \mathbb{Z})$Ranks and integer points on elliptic curves induced by Fibonacci triplesOn everywhere locally soluble varieties in families over toric basesWhen Fibonacci and Lucas Meet Smith: A Computational ExplorationJacquet-Zagier treatment of the beyond

ja

55:41

ゼータ関数と指数和と代数体 - 2026/9/2の論文32本

プレプリどんどん: math.NT ·

2026/09/02

arXiv math.NTの新着論文32本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-02/Reducing Every Set of 36 Consecutive Integers to Zero by Differences of SquaresColombo's Determinant ProblemThe shortest harmonic sums with decreasing denominatorFrom Common-Slot Chains to Heisenberg Central Products over Global FieldsSmooth Diffeomorphisms and Mahler's Problem on Liouville NumbersAlmost $k$-th powers in short intervalsExceptional points on Atkin--Lehner quotientsExplicit

ja

1:23:25

楕円曲線とL関数とモジュラー形式 - 2026/9/1の論文48本

プレプリどんどん: math.NT ·

2026/09/01

arXiv math.NTの新着論文48本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-01/On weighted forms in many variablesStable Solutions to Generalizations of Fibonacci Relations of Higher Order$q$-Analogues of some supercongruences related to generalized Van Hamme-type supercongruencesCounterexamples to O'Neil's Period-Index Problem on Elliptic CurvesVanishing of $\mathrm{Sha}(A/K)[\mathfrak{P}^\infty]$ and its consequences for the anticyclotomic Iwasawa theory of

ja

36:11

二項係数とディオファントス方程式と格子点 - 2026/8/31の論文20本

プレプリどんどん: math.NT ·

2026/08/31

arXiv math.NTの新着論文20本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-31/The Sufficient Set of Congruences of Binomial Coefficients for PrimalityFinite and Symmetric Multiple $T$-ValuesDiophantine m-tuples of Triangular NumbersTrilinear Kloosterman fractions II: subdyadic intervals and nearly balanced convolutionsAn Erd\H{o}s-Wintner theorem for second-order linear recurrent basesThe Multiplicative Persistence Conjecture: Resolving the $2$-Adic Obstruction for Nonzero

ja

51:20

ゼータ値とモジュラー形式と素数分布 - 2026/8/28の論文30本

プレプリどんどん: math.NT ·

2026/08/28

arXiv math.NTの新着論文30本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-28/Closed geodesics in homology classes modulo sublatticesDiscrete dynamics of Eratosthenes sieve$k$-Lucas Annulus for Polynomial ZerosA Neighbouring-Denominator Case of the Erd\H{o}s--Mahler ConjecturePeriod Relations for Theta Products and Elliptic Integral MomentsThe k-Rank Taylor Family: Canonical Harmonic Lifts, Principal Parts, and Rademacher Series$\mathbb{F}_q$-linear relations among Thakur's

ja

37:55

素数とL関数とディオファントス近似 - 2026/8/27の論文22本

プレプリどんどん: math.NT ·

2026/08/27

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/2026-08-27/On the sum of least prime factors in short intervalsTranscendence of Tonelli--Shanks Power Modulo Infinitely Large PrimesJacob's ladders, new classes of sum variants of almost linear formula and corresponding $\zeta$-functionals and $\zeta$-equivalents of the Fermat-Wiles theoremThe equality cases $P_t(\mathbb{N})=\tfrac12$ for the deconvolved sum-of-digits measuresThe uniform Littlewood conjecture

ja

42:51

L関数とモジュラー形式と有限体 - 2026/8/26の論文24本

プレプリどんどん: math.NT ·

2026/08/26

arXiv math.NTの新着論文24本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-26/Collapsing Fifty Dilogarithm Arguments to Five Terms over $\mathbb{Q}\bigl(u,\sqrt{4-3u^{2}}\bigr)$Poincar\'e duality in Hida familiesFourier Spectral Reciprocity and Canonical Hecke $L$-FunctionsGeometric Realization of Finite Residue Casimirs and Weil Operators via Szeg\H{o} KernelsSieve dimension and search depth for the Erd\H{o}s-Straus conjecture, $n \equiv 1 \pmod{24}$Modular Forms Related to

ja

1:17:09

ゼータ関数とL関数とp進解析と格子 - 2026/8/25の論文45本

プレプリどんどん: math.NT ·

2026/08/25

arXiv math.NTの新着論文45本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-25/A non-abelian large sieve and Artin's primitive root conjectureRational Points and Brownian MotionDense ascending waves: A resolution of the Alon-Spencer conjectureHow many points has an affine algebraic set in residue classes modulo n ?Positive Logarithmic Hausdorff Measures of Exceptional Sets for the $p$-adic and $t$-adic Littlewood ConjecturesGeneral Stirling-Ramanujan Constants are exponential

ja

23:54

原始根と楕円曲線と数論幾何と和の評価 - 2026/8/24の論文13本

プレプリどんどん: math.NT ·

2026/08/24

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/2026-08-24/A note on least primitive rootsPolylogarithmic Chabauty--Kim loci over number fieldsMaximal and minimal curves of the form $y^3=x^{(q^2+1)/2}+x$Euler characteristic of the Selmer group attached to an Artin representationComplete Resolution Of A Family Of Twisted Thue EquationsArithmetic $\mathcal{D}$-modules over Laurent series fields: the relative caseAdjoint Closures of Singular Pairs of

ja

36:17

素数と近似と表現と不変量 - 2026/8/21の論文21本

プレプリどんどん: math.NT ·

2026/08/21

arXiv math.NTの新着論文21本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-21/Totally positive field extensions and the pythagorean indexAn Algebraic Approach to the Fundamental Theorem of AlgebraMany Representations as Sums of Three Prime Cubes${}_5F_4$ evaluations and a family of $\pi^2+\log^2$ identitiesOn the Finiteness of Isolated $j$-invariants for $X_1(N)$Quantitative bounds for sets lacking polynomial progressions with shifted prime differenceArithmetic partial

ja

41:32

素数とディオファントス方程式と和 - 2026/8/20の論文23本

プレプリどんどん: math.NT ·

2026/08/20

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/2026-08-20/On sums of two primes and six Fibonacci numbersProperties of Kloosterman sums for long Weyl element on GL(n)Rational Solids with Equal Surface Area and VolumeSharp Transitions for Localized Solutions to a Diophantine InequalityMean Value Estimates for a Real-Exponent Analogue of Waring's ProblemAsymptotics of Hecke polynomial coefficients on the Atkin-Lehner eigenspacesOn $p$-adic solubility of

ja

32:27

素数と楕円曲線と格子と有限体 - 2026/8/19の論文18本

プレプリどんどん: math.NT ·

2026/08/19

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/2026-08-19/Prime-Exponent Transition Geometry and Divisor Barriers Between Consecutive Highly Composite NumbersAlgebraic Lattices Arising from Congruence Submodules in Subfields of $p$-th Cyclotomic FieldsMild p-Class Tower Groups of Imaginary Quadratic FieldsOn Buzzard's TheorenShifted second moment of Gaussian Hecke $L$-functions $L(s,\lambda^k)$A central limit theorem for prime geodesics on random surfaces

ja

59:53

ゼータ関数と指数和と楕円曲線 - 2026/8/18の論文35本

プレプリどんどん: math.NT ·

2026/08/18

arXiv math.NTの新着論文35本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-18/A descent-set obstruction for the Casas-Alvero conjectureExponential sums over primesReciprocity for The Short Twisted Second Moment of The Riemann Zeta FunctionBounding The Number of Zeros Near the Central Point in Families of Cuspidal NewformsTranscendence of continued fractions over function fields and a quantitative version of Uchiyama's theoremAlgebraic geometric framework of Rogers--Ramanujan

ja

33:22

代数曲線とゼータ関数と合同式 - 2026/8/17の論文19本

プレプリどんどん: math.NT ·

2026/08/17

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/2026-08-17/On the Existence of Hyperelliptic Curves over $\mathbb{Q}(T)$ with Certain Jacobian RanksMore than two thirds of the zeta zeros are simple and on the critical lineSome Dwork-type $q$-supercongruences from a $_6\phi_5$ summation formula$p$-numerical semigroup of the sequence of consecutive odd integersA structural trace identity and certified spectra for the Richelot-Brandt graphA Kubilius model for

ja

55:44

楕円曲線と素数とモジュラー形式 - 2026/8/14の論文31本

プレプリどんどん: math.NT ·

2026/08/14

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/2026-08-14/On Waring--Goldbach problem with mixed powersGeneralized Addition Theorems for the Jacobi Elliptic FunctionsA conditional arithmetic obstruction to the prime numbers as a spectrum of a probability measureFinding all cospectral mates over a number fieldSpecial Values of Shifted Dirichlet Series from an Adjoint Map on Almost Holomorphic Modular FormsDensity bounds for permutations avoiding monotone

ja

30:43

L関数とゼータ値とガロア群と格子 - 2026/8/13の論文18本

プレプリどんどん: math.NT ·

2026/08/13

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/2026-08-13/The motivic Selmer scheme of the thrice-punctured lineUpper bound for the moment of shifted values of cubic $L$-functions over function fieldsGalois Symbols for a Jacobian and Multiplicative GroupsEqualities among simplest quartic fields: a complete classificationHeight lower bounds for elements of highly composite ringsA $p$-part Birch and Swinnerton-Dyer Formula over Totally Imaginary Quadratic

ja

28:26

L関数と楕円曲線と多ゼータ値 - 2026/8/12の論文16本

プレプリどんどん: math.NT ·

2026/08/12

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/2026-08-12/On the Squarefree Values of Degree-$2q$ PolynomialsAn omega result for the first sign change of coefficients of symmetric power $L$-functions of Hecke-Maass cusp formsA proof of a weighted sum conjecture for finite multiple zeta values of level twoAverage root numbers in two isotrivial families of elliptic curvesPermutation polynomials from the trace functionsBockstein Spectral Sequences and

ja

1:01:47

ゼータ関数と分布と表現と分割数 - 2026/8/11の論文37本

プレプリどんどん: math.NT ·

2026/08/11

arXiv math.NTの新着論文37本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-08-11/Zeta zeros of function fields heuristically equidistribute as genus goes to infinitySharp vertex connectivity of the Markoff graphs modulo $p$Positive Lower Density for Hofstadter's $ab-1$ ProblemOn the Emerton-Gee stack of potentially semistable representationsRepresentations as Sums of Icosahedral and Dodecahedral Numbers: Proof of Pollock's ConjecturesWhich numbers are $u$-invariants of

ja

25:17

ゼータ関数と楕円曲線と有限体 - 2026/8/10の論文15本

プレプリどんどん: math.NT ·

2026/08/10

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/2026-08-10/Refuting a Conjecture of Umans and Wang on Arithmetic-Progression Divisor CoversSquarefree numbers in short intervals: explicit and formalizedAnticyclotomic Iwasawa theory of CM elliptic curves at ramified primesA Combinatorial Approach to Vorono{\"i} TheoryAn extension of Ramanujan-Guinand identity for the Dedekind zeta function and a new formula for $\zeta_\mathbb{F}(2)$ and

ja

All Episodes

Similar Podcasts

The Deep Dive Lab: Unraveling Materials Science

Son Hoang

New Books in Political Science

New Books Network

Station 151

Pale Matter | Realm

Beyond the Divide

Koala Moon

StarTalk with Neil deGrasse Tyson

Neil deGrasse Tyson