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arXiv math.NTの新着論文11本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-30/

  1. Estimating the tail of the singular product in the multivariate Bateman-Horn conjecture
  2. Combinatorial sums derived from properties of Legendre polynomials
  3. Monsky Matrix and 2-Selmer rank
  4. The $p$-powers dividing certain exponential sums
  5. Solution to the Erdos problem on distinct residues of factorials
  6. Families of Unit Equations and Exponential Diophantine Problems via Integral Points
  7. Improved bounds for the Fourier uniformity conjecture
  8. Generalized Estermann problem for non-integer powers with almost proportional summands
  9. On the automorphisms of the power semigroups of a numerical semigroup
  10. Multiplicative convolution and double shuffle relations
  11. On Arithmetic Mirror Symmetry for smooth Fano fourfolds