プレプリどんどん: math.NT

ディオファントス方程式とL関数と格子点 - 2026/4/28の論文29本

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arXiv math.NTの新着論文29本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-28/

  1. Lattice point visibility along powers of polynomials
  2. On the integrality of modular functions over $\mathbb{Z}[j]$ and Kronecker-type congruences
  3. A Proof of Bala's General-$m$ Representation of the Harmonic Numbers
  4. Core abaci and Diophantine equations I: fundamental weight
  5. Hybrid Conjecture in a Mixed Shimura variety
  6. Differences of squares of upper-triangular $2\times 2$ integer matrices
  7. On (not) learning the M\"obius function
  8. A necessary condition for a congruent number of the form $8k+3$
  9. $2$-Selmer groups, $2$-class groups, and congruent numbers
  10. The Absolute Anabelian Geometry of Virtual Curves of Arbitrary Genus
  11. Picking up the partial sums of the M\"{o}bius function problem with probabilistic number theory
  12. Large sieve inequality for sums of Legendre symbols over short intervals
  13. Unbounded logarithmic limsup in Erd\H{o}s problem 684
  14. On optimization on ravine functions. Minkowski-Cohn moduli surface in Cohn parameterization
  15. Non-Vanishing of Cubic Twists of $GL_n(\mathbb{Q})$ $L$-functions
  16. On the Gauss circle problem over smooth numbers
  17. On D-cap-Modules of Finite Length on Rigid Analytic Spaces
  18. Linear Bounds for Differentiable Limits of Weak Pair Correlation Functions
  19. On $k$-th power Diophantine triples of the form $\{a^k, b, c\}$
  20. Joint Sato-Tate Laws for Transformations of Hecke Eigenvalues: The Vertical Case
  21. The asymptotic oscillations of moments related to Dirichlet series with missing digits
  22. On the hull of linearized polynomial codes
  23. A Milestone in Formalization: The Sphere Packing Problem in Dimension 8
  24. A note on The asymptotic uniform distribution of subset sums
  25. Eleven, twelve, and thirteen lonely runners
  26. Dimension of the motivic Galois group of a 1-motive
  27. A Necessary and Sufficient Condition for Uniqueness of Euclidean Division
  28. Newman's Tauberian theorem, the Riemann-Lebesgue Lemma, and abstract analytic number theory
  29. On classical doubling method gamma factors for certain depth zero representations