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Symplectic Kloosterman sums and Poincaré series.

Authors :
Man, Siu Hang
Source :
Ramanujan Journal; Feb2022, Vol. 57 Issue 2, p707-753, 47p
Publication Year :
2022

Abstract

We prove power-saving bounds for general Kloosterman sums on 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 Sp (4) Poincare series. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13824090
Volume :
57
Issue :
2
Database :
Complementary Index
Journal :
Ramanujan Journal
Publication Type :
Academic Journal
Accession number :
154922693
Full Text :
https://doi.org/10.1007/s11139-021-00498-5