プレプリどんどん: math.NT

類体論と数論的関数と楕円曲線 - 2026/5/5の論文19本

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arXiv math.NTの新着論文19本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-05-05/

  1. Monogenic Fields from Polynomial Compositions with Applications
  2. Sets of integers satisfying Bateman-Horn statistics
  3. Bowen--Franks groups and minus class groups of cyclotomic number fields with prime conductor
  4. A logarithmic structure theorem for multiplicative functions with small partial sums
  5. 3-class field towers with 2 or 3 stages
  6. A note on bilinear sums with modular square roots
  7. Archimedean arithmetic Siegel--Weil formula for general weights over Shimura curves
  8. Numbers in a Beatty sequence which are orders only of cyclic, abelian or nilpotent groups
  9. On the generalized inverse tangent integral and Catalan's constant
  10. Gaps in Multiplicative Sidon Sets
  11. On the Sum of a Prime and a Number that is not Square-Free
  12. Expansion in $\text{SL}_2(\mathbb Z/q\mathbb Z)$ and Zaremba's conjecture
  13. Cusp forms and parabolic cohomology classes for symmetric spaces of rank one
  14. The generalized Fermat equation $Ax^2 + By^r = Cz^p$ and applications
  15. Reductions of $\mathrm{GL}_2(\mathbb Q_{p^f})$-Banach spaces of slopes in $(0,1)$
  16. A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumeration
  17. Flat Cohomological Purity for Syntomic Schemes over Valuation Rings
  18. On conjectural fermionic formulas for the Macdonald index in Argyres-Douglas theories
  19. Twisting Higgs Modules and Functorial Aspects of the p-adic Simpson Correspondence