プレプリどんどん: math.NT

51:37

曲線と数論的構造と解析的ツール - 2026/10/5の論文28本

プレプリどんどん: math.NT ·

2026/10/05

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/2026-10-05/Arithmetic growth in partially commutative semigroups of endomorphismsThe proportion of polynomials over F_2 with positive orthogonal multiplicityShimura Reciprocity for Real Quadratic FieldsCounterexamples for Rational Points Near CurvesThe Prime Wavelet Tree: Compressing the Carmichael NumbersExtreme values of Dirichlet $L$-functions on the critical line with a growing prime modulusA uniform

ja

1:09:43

方程式と素数と集合の構造 - 2026/10/2の論文35本

プレプリどんどん: math.NT ·

2026/10/02

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/2026-10-02/Two-Line Elimination and the Weierstrass Group Law in Arbitrary CharacteristicPageRank on Lubotzky--Phillips--Sarnak graphsSome Methods to Solve the Diophantine Equation ay^2=b(x^k-c^k)An explicit family of twists of the Carlitz module with unbounded analytic rankNew bounds for the integer Chebyshev constant of [0,1]On a problem on Ramanujan-Sato series of level 11Perfect squares in reciprocal-sum

ja

57:05

L関数とモジュラー形式とガロア群 - 2026/10/1の論文29本

プレプリどんどん: math.NT ·

2026/10/01

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/2026-10-01/A Romanoff-type theorem for a multiset of products of powersStrong Artin Conjecture for Generalized Octahedral Representations in $\mathrm{GL}_3$Large gaps between Romanoff numbersEuclidean Triangles Associated with Diophantine $D(4)$-triplesZeta elements for $p$-ordinary modular forms over imaginary quadratic fields and applicationsMonogenity of the irreducible factors of $(k,t)$-Fibonacci and

ja

1:16:13

予想と近似と数論的関数 - 2026/9/30の論文39本

プレプリどんどん: math.NT ·

2026/09/30

arXiv math.NTの新着論文39本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-30/Proofs of some conjectures by Bringmann, Han, Heim, and Kane on periodic sign changes in eta-quotientsPrimes in arithmetic progressions and Siegel zeroesp-adic Rigidity and Supercongruences at Rank Two AttractorsStrongly Pseudoperfect NumbersA $q$-analogue of a binomial supercongruenceOn closed-form expressions for weighted mean square of the Riemann zeta function and Dirichlet $L-$functionsOn

ja

2:20:07

MATH-NT - 2026/9/29の論文67本

プレプリどんどん: math.NT ·

2026/09/29

arXiv math.NTの新着論文67本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-29/Tamagawa numbers and torsion of elliptic curves over function fieldsEfficient Computation and Congruences for Colored Partition FunctionsQuasimodular Forms, Partitions, and Primes in IntervalsConductors and Quadratic base changeFactorizations in algebraic monogenic semidomainsUnit fractions with semiprime denominators: an elementary proof of Erd\H{o}s Problem #306On the sum of odd minimal

ja

54:28

MATH-NT - 2026/9/28の論文28本

プレプリどんどん: math.NT ·

2026/09/28

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/2026-09-28/A Congruence Conjecture of Z.-W. Sun for Reciprocal Central Binomial SumsSupercharacter theory and applications to Ramanujan sums over a finite Frobenius ringOn the Langlands--Kottwitz--Scholze methodCongruence obstructions in the refined Koblitz conjectureLocal Weak Maass Forms and Traces of Cycle IntegralsPinch's conjecture on $a$-convexityMishiba's Conjecture on the Coaction of $\infty$-adic

ja

1:18:30

MATH-NT - 2026/9/25の論文39本

プレプリどんどん: math.NT ·

2026/09/25

arXiv math.NTの新着論文39本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-25/Rank-two Nahm sums, modularity obstructions, and the McKay--Thompson series $T_{31A}$Noncongruence cusp forms, Veech groups and enumerationEffective logarithmic two-point Chowla bounds in every windowPermutation binomials of the form $X^r(X^{q-1}+a)$ over finite fieldsStraight-line programs for the solutions of Pell's equationComputations of Cohomology of Arithmetic Groups, Part 1On the index of

ja

1:19:53

MATH-NT - 2026/9/24の論文41本

プレプリどんどん: math.NT ·

2026/09/24

arXiv math.NTの新着論文41本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-24/A new upper bound for the irrationality exponent of zeta(3)The Primitive Generalized Fermat Equation x^3+y^5=z^7: A computer-assisted proofGalois-Orbit Structure, Ramanujan Sums, and Stable-Range Collapse for Cyclotomic Cosine Formulas$A_2$-frames, negacyclic glue, and extremal strongly $6$-modular latticesThe number of Ekedahl-Oort strata intersecting the supersingular locus in the Siegel modular

ja

15:38

MATH-NT - 2026/9/23の論文45本

プレプリどんどん: math.NT ·

2026/09/23

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/2026-09-23/Infinitely Many Binomial Coefficients of Deficiency OneCarmichael numbers of the form $2^n p^m+1$ with odd exponent $m$: refinements of a theorem of Florian Luca, a general independence lemma, and a computational studyAn Integral Representation of the Generalized Fibonacci NumbersBrauer-Kuroda relations for ramified graph coversThe Sphere Packing Problem in Dimension 4 and the Twenty-Four-Cell

ja

1:44:38

ゼータ関数と素数とガロア群と楕円曲線 - 2026/9/22の論文62本

プレプリどんどん: math.NT ·

2026/09/22

arXiv math.NTの新着論文62本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-22/Superpolynomially Large Support in Every Irreducible Factor of Lacunary PolynomialsIwasawa theory of class field towersA quadratic-residue dichotomy for two partition functions modulo 3On periods of the Tribonacci sequence modulo primesMonogenic Fields of Cryptographic SizeBad Reduction of Genus Two Curves with complex multiplicationAlmost Trivial Units in Group RingsZero density theorems for short

ja

33:25

格子とディオファントス近似とガロア環 - 2026/9/21の論文19本

プレプリどんどん: math.NT ·

2026/09/21

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/2026-09-21/On permutation-invariant construction of glued latticesExtreme value laws for intrinsic Diophantine approximation on spheresEigenvectors of $p$-Curvature for Geometric Difference EquationsGalois deformation rings and modularity in the residually reducible caseOn The Cyclicity of Algebraic LatticesThe large sieve for square moduli under Hooley's hypothesis $R^*$Annular Frobenius Classification of

ja

44:11

素数とガロア群と有限体と和集合 - 2026/9/18の論文26本

プレプリどんどん: math.NT ·

2026/09/18

arXiv math.NTの新着論文26本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-18/Asymptotic counting of integers with prime factors $p_{r^a s^b}$Endoscopic description of the local Langlands correspondence for $\mathrm{G}_2$A uniform proof approach for congruences modulo 3 for partitions with $k$-colored odd partsA new family of maximal curves not covered by the Hermitian curveSimultaneous nonvanishing of quadratic twists via Rankin-Cohen bracketsFinite subgroups of outer

ja

1:01:00

L関数とゼータ関数とモジュラー形式 - 2026/9/17の論文36本

プレプリどんどん: math.NT ·

2026/09/17

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/2026-09-17/Distinct Consecutive ProductsTranscendence measure for the values of the logarithmic derivative of the Bessel function $J_0$ at algebraic argumentsLattice points close to a smooth curve and squarefull numbers in short intervals. IIEffective Hecke eigenvalue equidistribution over the Atkin--Lehner subspacesOnly finitely many modular Jacobians are supersingular modulo a given primeOn two forms in

ja

1:04:07

L関数と楕円曲線と数体と素数 - 2026/9/16の論文38本

プレプリどんどん: math.NT ·

2026/09/16

arXiv math.NTの新着論文38本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-16/The Waring-Goldbach problem in short intervals under the Generalized Riemann HypothesisMean Lindel\"of Hypothesis and Prime Geodesic Theorem on Bianchi ManifoldsA formula for the rank over $\mathbb{Q}(t)$ of the elliptic curve $y^2=x^3+At^6+Bt^3+C$Number fields as curves over $\mathbf{F}_1$Simultaneously small continued fraction entropy and base $b$ entropyElementary proofs of congruences modulo 5

ja

1:57:48

素数と楕円曲線とモジュラー形式 - 2026/9/15の論文69本

プレプリどんどん: math.NT ·

2026/09/15

arXiv math.NTの新着論文69本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-15/The Strong 24-ConjectureTheta functions after WeilDynamical uniform boundedness for unicritical polynomials and elliptic curves of large rankArithmetic Siegel-Weil for the spherical Hecke algebraGalois representations and modularity for twisted moments of Kloosterman sumsPointwise ergodic theorems along sequences of intermediate growthSpherical statistics and phase transitions in high-dimensional

ja

42:26

L関数と楕円曲線とモジュラー形式 - 2026/9/14の論文25本

プレプリどんどん: math.NT ·

2026/09/14

arXiv math.NTの新着論文25本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-14/An adelic approach to the Kudla-Millson lifts over totally real number fieldsLocal-global principles for visibility of lattice points on parameterized curvesOn the variation of slopes over moduli stacks of Galois representationsCritical convergence and Hausdorff measures for generalized Flint Hills series$S_h$-sets in abelian groupsA Generalization of S\'ark\"ozy's theorem in function fieldsZeros

ja

44:28

L関数と多項式とゼータ値と行列 - 2026/9/11の論文26本

プレプリどんどん: math.NT ·

2026/09/11

arXiv math.NTの新着論文26本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-11/A New Sparse Algorithm for Polynomial GCD over IntegersSums of distinct divisors of factorialsOrdinary 3-Isogeny Graphs and Improvement of Supersingularity Testing for Twisted Hessian Curves over Prime FieldsEffective estimates for exponential sums with multiplicative coefficientsRational Approximations for Reciprocals of Multiple Zeta Values and Trivariate Cauchy NumbersA $p$-adic monodromy

ja

55:25

楕円曲線とL関数とディオファントス近似 - 2026/9/10の論文33本

プレプリどんどん: math.NT ·

2026/09/10

arXiv math.NTの新着論文33本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-10/A proof of Hare's $\epsilon$ unfair conjectureThe density of long runs of non-$r$-free integersSpectral Algebras of Abelian Cayley GraphsTriple intersections for algebraic curves on the real torusCyclotomy of symmetric polynomialsEffective Euler SumsThe addition on totally positive integers uniquely determines the totally real number fieldGeneric Manin-MumfordRegular Arithmetic Functions, Volume I

ja

2:17:23

円分体とp進解析と楕円曲線とL関数 - 2026/9/9の論文81本

プレプリどんどん: math.NT ·

2026/09/09

arXiv math.NTの新着論文81本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-09-09/Lower bounds for some value sets over finite fields: incidence geometry and Bourgain's group expansion theoremOn the Diophantine Equations Arising from Three-Term $b$-Concatenations in Pell-Type SequencesPrimes with Restricted-Digit DifferencesOn the classification of small cyclotomic integersOn the class number of certain cyclotomic fieldsA $q$-microscope for mock-theta denominator

ja

41:16

ゼータ値と多項式と分布と格子点 - 2026/9/7の論文23本

プレプリどんどん: math.NT ·

2026/09/07

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/2026-09-07/Multiple zeta values in $\lambda$-ringsSIC dimension towers via cyclotomic polynomialsA counterexample to the Chung-Graham-Spiro gap-set conjectureHilbert's Irreducibility for $\mathbb{G}_m$Degeneration of monodromy in the theory of Eisenstein congruences for classical groupsNumerical experiments on the Hardy conjecture for the Gauss circle problemOn multiply induced charactersOn the Divisibility

ja

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