Chowla and Sarnak Conjectures for Kloosterman Sums
Number Theory
2023-10-05 v1 Dynamical Systems
Abstract
We formulate several analogues of the Chowla and Sarnak conjectures, which are widely known in the setting of the M\"obius function, in the setting of Kloosterman sums. We then show that for Kloosterman sums, in some cases, these conjectures can be established unconditionally.
Cite
@article{arxiv.2211.00379,
title = {Chowla and Sarnak Conjectures for Kloosterman Sums},
author = {E. H. El Abdalaoui and I. E. Shparlinski and R. S. Steiner},
journal= {arXiv preprint arXiv:2211.00379},
year = {2023}
}