Gauss sums for symplectic groups over a finite field
β Scribed by Dae San Kim
- Publisher
- Springer Vienna
- Year
- 1998
- Tongue
- English
- Weight
- 640 KB
- Volume
- 126
- Category
- Article
- ISSN
- 0026-9255
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π SIMILAR VOLUMES
Let < be a "nite additive subgroup of a "eld K of characteristic p'0. We consider sums of the form S F (< : )" TZ4 (v# )F for h50 and 3 K. In particular, we give necessary and su$cient conditions for the vanishing of S F (<; ), in terms of the digit sum in the base-p expansion of h, in the case that
Evaluation of some exponential sums over i l finite field By L. CAF~LITZ of Durham (U.S.A.) (Eingegangen am 10.7.1978) 1. Introduction. Let Fq = QF(q) denote the finite field of order q = p", p prime, n 2 1. For a E Fq put t(a) = a + up + + up"-' and e(a) = p i W / p , so that t(aP) = t(a), e(aP) =