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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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