プレプリどんどん: math.NT

p-adicと楕円曲線とバタマンホーン - 2026/4/3の論文18本

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arXiv math.NTの新着論文18本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-03/

  1. The relativistic $p$-adic sunscreen conjecture
  2. On Series Involving Cubed Catalan Numbers
  3. Non-vanishing for quartic Hecke $L$-functions and ranks of elliptic curves
  4. On algebraic independence of three p-adic continued fractions
  5. On finite analogues of Dobi\'{n}ski's formula and of Euler's constant via Gregory polynomials
  6. Overconstrained character sums over finite abelian groups and decompositions of generalized bent, plateaued and landscape functions
  7. Towards the $p$-adic Hodge parameters in semistable representations of $\mathrm{GL}_n(\mathrm{Q}_p)$
  8. Circle coverings driven by arithmetic sequences: a percolation approach to Diophantine approximation and fractal intersections
  9. A digit-sum formula for B\"ottcher coordinates
  10. The Circle Method for Quadrics over Function Fields
  11. Counting Frobenius extensions over local function fields
  12. On congruence conjectures of Andrews and Bachraoui
  13. Worse than square-root cancellation in Bateman-Horn's conjecture
  14. Large values of exponential sums with multiplicative coefficients
  15. Galois group of exceptional curves on the generic del Pezzo surface
  16. Cuspidal $\ell$-modular representations of ${\rm GL}_n(F)$ distinguished by a Galois involution, II
  17. On the inverse Galois problem for del Pezzo surfaces of degree 1
  18. Intersections and the B\'ezout Range: Abelian Varieties