Pseudorandomness of Sato-Tate Distributions for Elliptic Curves

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.