English

Pseudorandomness of Sato-Tate Distributions for Elliptic Curves

Number Theory 2023-02-01 v2

Abstract

In this paper we propose conjectures that assert that, the sequence of Frobenius angles of a given elliptic curve over Q\mathbf{Q} without complex multiplication is pseudorandom, in other words that the Frobenius angles are statistically independently distributed with respect to the Sato-Tate measure. Numerical evidences are presented to support the conjectures.

Keywords

Cite

@article{arxiv.2301.12823,
  title  = {Pseudorandomness of Sato-Tate Distributions for Elliptic Curves},
  author = {Chung Pang Mok and Huimin Zheng},
  journal= {arXiv preprint arXiv:2301.12823},
  year   = {2023}
}