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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Exponential sums and forms for varieties over finite fields


Author: Richard G. Sarkisian
Journal: Proc. Amer. Math. Soc. 95 (1985), 372-374
MSC: Primary 11G25; Secondary 14G10, 14G15
MathSciNet review: 806073
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Abstract: We prove that the roots of the $ L$-function of an Artin-Schreier cover of an algebraic variety defined over a finite field differ from the roots of the zeta function of the cover by roots of unity.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0806073-8
PII: S 0002-9939(1985)0806073-8
Keywords: Exponential sum, Artin-Schreier cover, form for an algebraic variety
Article copyright: © Copyright 1985 American Mathematical Society