ゼータ関数と格子と多項式の解析 - 2026/6/9の論文39本

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/2026-06-09/Arithmetic Symmetry in Ideal Prouhet-Tarry-Escott SolutionsExplicit bounds for Dickman's functionWeighted Recursions for the Smallest Parts FunctionMinkowski shapes of pure number fieldsOn the sequence $\mathrm{gcd}(a^n-1,b^n-1)$Monogenity of Fibonacci polynomials and Lucas polynomialsA criterion for weighted uniform distribution along functions from a Hardy fieldGcd-closed sets and divisibility among power LCM matrices$P$-adic $L$-functions: $t$-modules and Dirichlet-Goss $L$-seriesWaring's problem involving D.H. Lehmer numbersArithmetic exceptionality of generalized Chebyshev polynomials of the second kindErd\H{o}s Problem 684 at Density One: Small-prime Parts of Binomial Coefficients and Gaussian FluctuationsMurmurations in the Depth Aspect for Maass and Modular FormsOn special perfect polynomials over $\mathbb{F}_2$Uncertainty Principles for the Number Theoretic TransformA convexity proof of Pohst's inequalityOn the degree-$2$ Siegel theta series of extremal even unimodular lattices of ranks $48$, $72$, $96$, and $120$Extremal Type II lattices of rank $72$ are generated by their second shellTranscendence of simple geodesics on finite modular coversZeta functions over curvesThe Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$Polynomial Corners Over finite FieldsDegenerate generalized Stirling operators of the first kind arising from generalized Heisenberg algebraWeil's quadratic form via the screw functionFourier Coefficients of Siegel--Eisenstein Series of Degree $2m$ and Weight $m+1$Insufficiency of the algebraic Brauer--Manin obstruction for homogeneous spacesAbelian surfaces of small conductor from genus 3 double coversMultiple zeta values ending with a fixed stringOn the Smallest Counterexample to the Log-Concavity of the D'Arcais PolynomialsFine-scale statistics for $\mathbb{Q}^n$Power Integral Bases in Polynomial CompositionsA note on large values of Dirichlet $L$-functions for characters of fixed order at $1/2On the Vinberg Family of K3 SurfacesCovering $\mathbb{F}_2^n$ with Hamming BallsBirkhoff genericity on affine subspaces in horospheresDigit Mixing under Polynomial MapsRestriction estimates for toral eigenfunctions and lattice points in spherical regionsAlgebraic Hodge generic points are denseBertini theorems for Hilbert-Samuel multiplicity over finite fields