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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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참고문헌 (18)
참고문헌 신청
B. C. Berndt / 1998 / Canad. Math. Soc. Ser. Monographs Adv. Texts 21 / Wiley
D. S. Kim / 1996 / Gauss sums for O+(2n, q) / Acta Arith. 78 (1) : 75 ~ 89
D. S. Kim / 1997 / Gauss sums for O?(2n, q) / Acta Arith. 80 (4) : 343 ~ 365
D. S. Kim / 1997 / Gauss sums for U(2n + 1, q2) / J. Korean Math. Soc. 34 (4) : 871 ~ 894
D. S. Kim / 1997 / Gauss sums for general and special linear groups over a finite field / Arch. Math. (Basel) 69 (4) : 297 ~ 304
D. S. Kim / 1996 / Gauss sums for O+(2n, q) / Acta Arith. 78 (1) : 75 ~ 89
D. S. Kim / 1997 / Gauss sums for O?(2n, q) / Acta Arith. 80 (4) : 343 ~ 365
D. S. Kim / 1997 / Gauss sums for U(2n + 1, q2) / J. Korean Math. Soc. 34 (4) : 871 ~ 894
D. S. Kim / 1997 / Gauss sums for general and special linear groups over a finite field / Arch. Math. (Basel) 69 (4) : 297 ~ 304
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