Symplectic Kloosterman Sums and Poincaré Series

Published 4 Jun 2020 in math.NT | (2006.03036v2)

Abstract: We prove power-saving bounds for general Kloosterman sums on $\operatorname{Sp}(4)$ associated to all Weyl elements via a stratification argument coupled with $p$-adic stationary phase methods. We relate these Kloosterman sums to the Fourier coefficients of $\operatorname{Sp}(4)$ Poincar\'e series.

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Authors (1)

Siu Hang Man

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