Pseudorandomness and Chebyshev Bias of Horizontal Distributions of Kloosterman Sums

Résumé fourni par la source

In this paper, we investigate pseudorandomness of the horizontal distributions of Kloosterman sums. We conjecture that the horizontal distributions are statistically independent with respect to the Sato-Tate measure. Numerical evidence is presented to support the conjectures. We also investigate Chebyshev bias for these exponential sums, where new phenomenon shows up in comparison of Chebyshev bias for elliptic curves.

Ce résumé expose les affirmations des auteurs. BNTIC ne l’interprète pas comme une validation indépendante des résultats.