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IDENTITIES ARISING FROM GAUSS SUMS FOR SYMPLECTIC AND ORTHOGONAL GROUPS

Authors
Chae, Hi-joonKim, Dae San
Issue Date
Mar-2010
Publisher
KOREAN MATHEMATICAL SOC
Keywords
Gauss sums; exponential sums; symplectic groups; orthogonal groups
Citation
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.47, no.2, pp.409 - 424
Journal Title
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
Volume
47
Number
2
Start Page
409
End Page
424
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/20838
DOI
10.4134/JKMS.2010.47.2.409
ISSN
0304-9914
Abstract
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.
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