English

Central limit theorem for Hecke eigenvalues

Number Theory 2025-01-23 v1

Abstract

In this paper, we obtain the central limit theorem of Hecke eigenvalues in very general setting of split simple algebraic groups over Q\mathbb{Q}, using irreducible characters of compact Lie groups.

Keywords

Cite

@article{arxiv.2501.12704,
  title  = {Central limit theorem for Hecke eigenvalues},
  author = {Henry H. Kim and Satoshi Wakatsuki and Takuya Yamauchi},
  journal= {arXiv preprint arXiv:2501.12704},
  year   = {2025}
}
R2 v1 2026-06-28T21:13:17.647Z