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arXiv · 2301.12823

Pseudorandomness of Sato-Tate Distributions for Elliptic Curves

Chung Pang Mok·Huimin Zheng
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Abstract

In this paper we propose conjectures that assert that, the sequence of Frobenius angles of a given elliptic curve over $\mathbf{Q}$ 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.

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Chung Pang Mok, Huimin Zheng. 2023-01-30. Pseudorandomness of Sato-Tate Distributions for Elliptic Curves. https://arxiv.org/abs/2301.12823

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