Symplectic Kloosterman Sums and Poincar\'e Series
Number Theory
2023-06-26 v2
Abstract
We prove power-saving bounds for general Kloosterman sums on associated to all Weyl elements via a stratification argument coupled with -adic stationary phase methods. We relate these Kloosterman sums to the Fourier coefficients of Poincar\'e series.
Cite
@article{arxiv.2006.03036,
title = {Symplectic Kloosterman Sums and Poincar\'e Series},
author = {Siu Hang Man},
journal= {arXiv preprint arXiv:2006.03036},
year = {2023}
}
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