English

A refinement of Sato-Tate conjecture

Number Theory 2021-01-14 v1 Statistical Mechanics Mathematical Physics math.MP

Abstract

We propose a refined version of the Sato-Tate conjecture about the spacing distribution of the angle determined for each prime number. We also discuss its implications on LL-function associated with elliptic curves in the relation to random matrix theory.

Keywords

Cite

@article{arxiv.2101.05193,
  title  = {A refinement of Sato-Tate conjecture},
  author = {Taro Kimura},
  journal= {arXiv preprint arXiv:2101.05193},
  year   = {2021}
}

Comments

6 pages

R2 v1 2026-06-23T22:07:51.530Z