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arXiv math.NTの新着論文16本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-03-02/

  1. Completeness of exponentially increasing sequences
  2. Meta-automatic Sequences
  3. Duffin--Schaeffer examples, real residue systems, and Bohr-set primes
  4. Arithmetic properties of arguments of algebraic numbers on the unit circle
  5. Counting number fields using multiple Dirichlet series
  6. 4-rank distribution of Picard groups of hyperelliptic curves via $C$-symmetric matrices
  7. On quasi-split orthogonal local models of PEL type D
  8. Products of factorials which are products of factorials
  9. A Functorial Refinement of the Franke Filtration and the Jacquet--Langlands Correspondence for Spaces of Automorphic Forms
  10. Improved, sublinear projective Schwartz-Zippel and (sub)quadratic dimension growth bounds in arbitrary codimension
  11. Periods of hyperplane arrangements and multiple polylogarithms
  12. Newton strata realization for hypersurfaces via explicit p-adic cohomology
  13. Diamond Determinants and Somos Sequences
  14. On Weierstrass semigroups of maximal Fermat function fields
  15. Sarnak's Program for Erd\H{o}s Sieves. Part I: Topological Dynamics and Light Tails
  16. Sarnak's Program for Erd\H{o}s Sieves. Part II: Measure Systems and Applications