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Mixed exponential sums over finite fields


Authors: Francis N. Castro and Carlos J. Moreno
Journal: Proc. Amer. Math. Soc. 128 (2000), 2529-2537
MSC (1991): Primary 11L40; Secondary 11S15
DOI: https://doi.org/10.1090/S0002-9939-00-05441-1
Published electronically: February 28, 2000
MathSciNet review: 1690978
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Abstract:

In this paper we calculate the conductor of a character that consists of the product of an additive and a multiplicative character. This computation improves the bound for exponential sums given by G. I. Perel$^\prime$muter. This calculation gives an easy method to compute the conductor associated to a character of the Galois group of the composite of an Artin-Schreier extension and a Kummer extension.


References [Enhancements On Off] (What's this?)

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Additional Information

Francis N. Castro
Affiliation: Department of Mathematics, University of Puerto Rico, Rio Piedras, College Park 274 Salerno, San Juan, Puerto Rico 00931
Email: fcastro@goliath.cnnet.clu.edu

Carlos J. Moreno
Affiliation: Department of Mathematics, Baruch College, CUNY, P.O. Box 545, N. Salem, New York 10560
Email: carlos@kepler.baruch.cuny.edu

DOI: https://doi.org/10.1090/S0002-9939-00-05441-1
Received by editor(s): October 7, 1998
Published electronically: February 28, 2000
Communicated by: David E. Rohrlich
Article copyright: © Copyright 2000 American Mathematical Society