プレプリどんどん: math.NT

ピフォーミュラとアペリ核とクラウセン函手 - 2026/4/14の論文22本

Listen

Description

arXiv math.NTの新着論文22本をご紹介します。

番組ページ: https://prepridondon.nyoho.jp/channels/math-nt/episodes/2026-04-14/

  1. Order-3 pi-formulas, Apery-like kernels, and Clausen functoriality for Conservative Matrix Fields
  2. A comment on the equation $n!!=a_1!!\cdots a_t!!$
  3. A formal proof of the Ramanujan--Nagell theorem in Lean 4
  4. Low moments of random multiplicative functions twisted by Fourier coefficients of modular forms
  5. The Number of Solutions to $ax+by+cz=n$ for Fibonacci and Lucas triplets
  6. A note on small theta lift
  7. Remarks on Brauer-Manin obstruction for Weil restrictions
  8. On the Chevalley-Bass number of a field
  9. Conjectural decomposition of symmetric powers of automorphic representations for $\mathrm{GL}(n)$
  10. Beatty solutions of almost Golomb equations
  11. Regular ternary sums of generalized polygonal numbers
  12. Local square mean in the hyperbolic circle problem and sums of Sali\'e sums
  13. A Fixed-Prime Criterion for Reciprocals in Missing-Digit Sets
  14. Branched covers of $\mathbb{P}^1$ and divisibility in class group
  15. The solvability of the inverse volcano problem over non-prime finite fields
  16. Almost Free Non-Archimedean Banach Spaces and Relation to Large Cardinals
  17. Character values and conductors of low-rank groups of Lie type
  18. Cusp Form Dimensions, Lattice Uniqueness, and LP Sharpness for Sphere Packing in Dimensions 8 and 24
  19. Geometrization of the Schr\"odinger Model for the Minimal Representation of an Even Orthogonal Group: The de Rham Setting
  20. Algorithms on the Pyasetskii involution on local Langlands parameters of classical groups
  21. Pro-$p$ Iwahori-Hecke modules in semisimple rank one and singularity categories
  22. An analogue of irreducible cuspidal representations for the group $PGL(2)$ over a two-dimensional local field