IDENTITIES ARISING FROM GAUSS SUMS FOR SYMPLECTIC AND ORTHOGONAL GROUPS

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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Bibliographic Details
Published inJournal of the Korean Mathematical Society Vol. 47; no. 2; pp. 409 - 424
Main Authors Chae, Hi-Joon, Kim, Dae-San
Format Journal Article
LanguageKorean
Published 2010
Subjects
symplectic groups
Gauss sums
exponential sums
orthogonal groups
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Summary: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.
Bibliography:KISTI1.1003/JNL.JAKO201007633730070
ISSN:0304-9914