L functions of some exponential sums of finite classical groups
β Scribed by Hi-joon Chae; Dae San Kim
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 158 KB
- Volume
- 326
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
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) =
DEDICATED TO PROFESSOR CHAO KO ON THE OCCASION OF HIS 90TH BIRTHDAY Let F O be the "nite "eld of q elements with characteristic p and F O K its extension of degree m. Fix a nontrivial additive character of ). The corresponding ΒΈfunctions are de"ned by ΒΈ( f, t)"exp( K S K ( f )tK/m). In this paper,
We give here an explicit description of some \(L\)-functions attached to ternary zero forms and its special values at non-positive integers. As an application, we give explicit formulae of some exponential sums related to the trace formula. 1994 Academic Press, Inc.