曲線と曲面における算術的構造 - 2026/11/6の論文28本

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/2026-11-06/ Explicit bounds for the number of solutions to Roth-type inequalities over adelic curves Metallic Circles: Concyclic Tangency Points of Ford Circles over $k$-Fibonacci Quotients Mahler's Problem on Liouville Numbers II. Rational Maps On Amoebas and the Arithmetic Rigidity of the Mahler Measure Fields Generated by a Single Point on Elliptic Curves On explicit units in a family of cubic fields and the arithmetic of curves arising from powers of these units Periodic counting, carry synchronization, and primes in nonstandard numeration systems On a problem due to Erd\H{o}s concerning $w_1(n)$ Multivariable Congruence Jumping: Periodic States, Integral Realizations, and Descent A Hypergeometric RM Surface: Integral Monodromy and Level-11 Covers The minimal excludant and the least $r$-gaps of $\ell$-regular partitions Towards a twistless converse theorem On Sufficient Conditions for Rank Zero in Families of Elliptic Curves Overholonomicity of Overconvergent $F$-isocrystals over Laurent Series Fields Arithmetic theta products and doubling at arbitrary level Density and holes of the visible points in certain cut-and-project sets $p$-parity conjecture for Panchishkin Galois representations Pointless K3 surfaces over finite fields An extremal unimodular lattice of rank 37 Gaps in the Most Frequent Sizes of Integer Sumsets Brauer groups of generalised Markoff surfaces Combinatorics of noncommutative harmonic oscillator determinant Anti-ribbon shaped Young diagram decomposition The parity of the number of missing integers in partitions The Calkin--Wilf problems on $\ell$-ary partition functions Counting multigeodesics and the Selberg-Delange method Fermat quotients with CM Jacobians and trivial automorphism group Steinberg module and top-dimensional cohomology for arithmetic Chevalley groups