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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Elementary estimates for a certain typeof Soto-Andrade sum
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by Imin Chen
Proc. Amer. Math. Soc. 128 (2000), 1933-1939
DOI: https://doi.org/10.1090/S0002-9939-00-05591-X
Published electronically: February 21, 2000
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Abstract:

This paper shows that a certain type of Soto-Andrade sum can be estimated in an elementary way which does not use the Riemann hypothesis for curves over finite fields and which slightly sharpens previous estimates for this type of Soto-Andrade sum. As an application, we discuss how this implies that certain graphs arising from finite upper half planes in odd characteristic are Ramanujan without using the Riemann hypothesis.
References
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Bibliographic Information
  • Imin Chen
  • Affiliation: Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada H3A 2K6
  • MR Author ID: 609304
  • Email: chen@math.mcgill.ca
  • Received by editor(s): September 8, 1998
  • Published electronically: February 21, 2000
  • Additional Notes: This research was supported by an NSERC postdoctoral fellowship and a grant from CICMA
  • Communicated by: David E. Rohrlich
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 1933-1939
  • MSC (2000): Primary 11L40; Secondary 05C25, 20G40
  • DOI: https://doi.org/10.1090/S0002-9939-00-05591-X
  • MathSciNet review: 1707143