幾何的構造と特殊数列 - 2026/10/12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/2026-10-12/ On $m$-fullness in number fields Properness of the Cuspidal Hilbert Eigenvariety A cyclotomic gluing construction for lattice sphere packings Hankel Matrix Decompositions and Digital Sequences over Function Fields Polynomial parametrization of $\text{SL}_2$ over global function field rings A Rigid Analytic Curve Can Have a Dense $p$-adic Orbit A conditional bound $\Lambda\le0.13963$ for the de Bruijn--Newman constant Reciprocal LCM powers and Robin's criterion Reasonable bounds for Restricted Polynomial Progressions in $\mathbb F^n_p$ On the Imaginary Part of $\zeta'/\zeta$ Odd order cases of Chowla's averages over arbitrary rectangles Product and Quotient Set Dominance in Finite Groups On Quadric Surfaces Weighted by Arbitrary Coefficients Hecke Eigenform Product Identities for Full-Level Hilbert Modular Forms The order types of the supports of $p$-adic algebraic Hahn series Stieltjes constants for Hurwitz-type L-series attached to periodic arithmetic functions Towards linear growth for biprojective hypersurfaces of small dimension Real Fiducial Vectors Only Exist in Dimensions $d\equiv 3 \pmod{4}$ On the Quantitative Bounds of Nonlinear Roth Theorem Hecke modules associated to certain ternary lattices of half-discriminant $p^2$ and $4p^2$ Short Recurrences and Straight-Line Programs for Primes Sharp Bounds for Limits of $N$-Point Correlation Appell Sequences in Analytic Number Theory: Shifted Expansions and Dirichlet L-Functions Regularization of a Divergent Arithmetic Product via the Asymptotic Monoid: The Case of $(-1)^{\omega(n)}$ On a conjecture on Romanoff type representations On Divisor Function Polynomials and Dirichlet Series On the saturability of $p$-adic Lie groups An Infinite Family of Ap\'ery-like Recurrences for Euler's Constant Covering plane curves over finite fields with lines Khintchine dichotomy for images of self-similar measures and almost random walks Higher mod $p$ Satake transforms: explicit formulas and images for $\mathrm{GL}_2$ Thurston's Legacy at the Interface of Surface Dynamics