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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/2026-04-27/

  1. A link between error terms when counting smooth and rough numbers
  2. The exceptional set for Diophantine inequality with mixed powers of primes
  3. Exceptional poles of archimedean Rankin-Selberg L-functions for principal series representations of GL(n,R)
  4. On a new modular equation of degree five and Eisenstein series identities of associated levels
  5. Higher moments of the symmetric square $L$-function off the critical line
  6. Matrices with cyclically monotone rows and Cantor numeration systems
  7. Khintchine's theorem for inhomogeneous simultaneous approximation with polynomial decay
  8. Asymptotic behaviour of analytic torsion and cohomological torsion for $\mathbb{Q}$-rank $1$ arithmetic groups
  9. Non-linear geometry of multiple zeta values
  10. Numerical Semigroups with $a_e = 2g+1$
  11. A construction method for WZ seeds