IDENTITIES ARISING FROM GAUSS SUMS FOR SYMPLECTIC AND ORTHOGONAL GROUPS

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초록

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.

키워드

Gauss sumsexponential sumssymplectic groupsorthogonal groupsFINITE-FIELDO-(2N,Q)Q(2))U(2N
제목
IDENTITIES ARISING FROM GAUSS SUMS FOR SYMPLECTIC AND ORTHOGONAL GROUPS
저자
Chae, Hi-joonKim, Dae San
DOI
10.4134/JKMS.2010.47.2.409
발행일
2010-03
유형
Article
저널명
대한수학회지
47
2
페이지
409 ~ 424