プレプリどんどん: math.NT

魔法分割関数とオーバーパーティション - 2026/3/10の論文28本

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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/2026-03-10/

  1. Magic partition functions: Sign smoothing convolutions with Dirichlet invertible arithmetic functions
  2. Quadratic Congruences for half-integral weight cusp forms with the eta multiplier
  3. Remarks on polynomial count varieties
  4. Resolution of the Skolem Problem for $k$-Generalized Lucas Sequences
  5. $\{\pm 1\}$-weighted zero-sum constants
  6. Oscillatory Interference in Dirichlet L-Functions and the Separation of Primes
  7. A trigonometric approach to an identity by Ramanujan
  8. On the de Rham flip-flopping in dual towers
  9. Serre conjecture II for pseudo-reductive groups
  10. An Equivalent form of Twin Prime Conjecture connected with a sequence of arithmetic progressions
  11. A short remark on the $\ell$-torsion part of class groups
  12. On odd-spin $A_{1}^{(1)}$-string functions, cross-spin identities, and mock theta conjecture-like identities
  13. Distributions of left prime truncations
  14. New Ramanujan-type congruences for overpartitions modulo $11$ and $13$
  15. The image of the adelic Galois representation of an elliptic curve with complex multiplication
  16. An archimedean approach to singular moduli on Shimura curves
  17. Informational Cardinality: A Unifying Framework for Set Theory, Fractal Geometry, and Analytic Number Theory
  18. Congruences between Klingen-Eisenstein series and cusp forms on $\mathrm{U}_{n,n}$
  19. Local theta correspondence and Galois periods
  20. On one class of nowhere non-monotonic functions with fractal properties that contains a subclass of singular functions
  21. Finite capture and the closure of roots of restricted polynomials
  22. Extreme value theorem for geodesic flow on the quotient of the theta group
  23. Noncommutative Wilczynski Invariants, and Modular Differential Equations
  24. A Lock-Free, Fully GPU-Resident Architecture for the Verification of Goldbach's Conjecture
  25. Heights on toric varieties for singular metrics: Global theory
  26. Finiteness of specializations of the $q$-deformed modular group at roots of unity
  27. The Reidemeister and the Nielsen numbers: growth rate, asymptotic behavior, dynamical zeta functions and the Gauss congruences
  28. Theorem of the heart for Weibel's homotopy $K$-theory