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arXiv math.NTの新着論文14本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-30/

  1. On bilinear sums with modular square roots and applications III
  2. On nonconvex constellations among primes I
  3. Examples of Quadratic Polynomials over $\mathbb{Q}$ with Surjective Arboreal Galois Representations
  4. Surviving Eratosthenes sieve I: quadratic density and Legendre's conjecture
  5. On a M\"obius double sum
  6. Uniform Diophantine approximation with restrictions via total density of collections of subspaces
  7. Exactness property of Breuil-Kisin functors and Bloch-Kato Selmer groups
  8. Finiteness of Disjoint Covering Systems with Precisely One Repeated Modulus
  9. A further $q$-generalization of the (C.2) and (G.2) supercongruences of Van Hamme
  10. Proof of Hong's conjecture on divisibility among power GCD and power LCM matrices on gcd-closed sets
  11. Arithmetic sums and products of infinite multiple zeta-star values
  12. Van der Waerden's theorem on arithmetic progressions -- a survey of some historical and modern developments
  13. Resonances on geometrically finite graphs
  14. Integral Means Spectrum for the Random Riemann Zeta Function