Mixed exponential sums over finite fields
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- by Francis N. Castro and Carlos J. Moreno PDF
- Proc. Amer. Math. Soc. 128 (2000), 2529-2537 Request permission
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
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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
- Received by editor(s): October 7, 1998
- Published electronically: February 28, 2000
- Communicated by: David E. Rohrlich
- © Copyright 2000 American Mathematical Society
- 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
- MathSciNet review: 1690978