Work

Pseudorandomness of Sato-Tate Distributions for Elliptic Curves

Year: 2025

Type: article

Abstract: In this paper we propose conjectures that assert that, the sequence of Frobenius angles of a given elliptic curve over 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 evidence is presented to support the conjectures.

Source: Journal of Experimental Mathematics

DOI: 10.56994/jxm.001.001.009

Authors: Chung Pang Mok, Huimin Zheng

Institutions: Shanghai Institute for Mathematics and Interdisciplinary Sciences, Nanjing University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4408045238

FWCI: 3.498

Cites:

Cited by: 1

Related to: 10