素数とp進群と学習理論とコホモロジー - 2026/4/17の論文15本

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/2026-04-17/The level-8 Apery-limit and a proof of the Ramanujan Machine conjecture Z1Arithmetic functions and learning theoryPrime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number TheoryOn the Number of Prime Factors of Consecutive IntegersComputer vision and converse theoremsAnother factor of integer polynomials with minimal integralsGelfand--Kirillov dimension and mod $p$ cohomology for inner forms of $\mathrm{GL}_2$Counting Theorems for Algebraic RelationsLog-Concavity and Infinite Log-Concavity of Linear Recurrent Sequences with Linear Coefficients via Companion Matrix MethodsRecurrence Time for Finite Quantum SystemsDistinguished Simple Supercuspidal Representations of $p$-adic $\text{GL}(n)$On local integrability results for $p$-adic reductive groupsEvaluations of some series via the WZ methodRational analytic syntomic cohomologyBorel--Bernstein and Hirst-type Theorems for Nearest-Integer Complex Continued Fractions over Euclidean Imaginary Quadratic Fields