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 evidences are presented to support the conjectures.

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