プレプリどんどん: math.NT

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

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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/

  1. The level-8 Apery-limit and a proof of the Ramanujan Machine conjecture Z1
  2. Arithmetic functions and learning theory
  3. Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory
  4. On the Number of Prime Factors of Consecutive Integers
  5. Computer vision and converse theorems
  6. Another factor of integer polynomials with minimal integrals
  7. Gelfand--Kirillov dimension and mod $p$ cohomology for inner forms of $\mathrm{GL}_2$
  8. Counting Theorems for Algebraic Relations
  9. Log-Concavity and Infinite Log-Concavity of Linear Recurrent Sequences with Linear Coefficients via Companion Matrix Methods
  10. Recurrence Time for Finite Quantum Systems
  11. Distinguished Simple Supercuspidal Representations of $p$-adic $\text{GL}(n)$
  12. On local integrability results for $p$-adic reductive groups
  13. Evaluations of some series via the WZ method
  14. Rational analytic syntomic cohomology
  15. Borel--Bernstein and Hirst-type Theorems for Nearest-Integer Complex Continued Fractions over Euclidean Imaginary Quadratic Fields