J. Korean Math. Soc. 2010; 47(2): 409-424
Printed March 1, 2010
https://doi.org/10.4134/JKMS.2010.47.2.409
Copyright © The Korean Mathematical Society.
Hi-joon Chae and Dae San Kim
Hongik University and Sogang University
We express Gauss sums for symplectic and orthogonal groups over finite fields as averages of exponential sums over certain maximal tori. Together with our previous results, we obtain some interesting identities involving various classical Gauss and Kloosterman sums.
Keywords: Gauss sums, exponential sums, symplectic groups, orthogonal groups
MSC numbers: 55A19, 11T24, 20G40
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