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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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Note on Salié’s sum
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by Kenneth S. Williams PDF
Proc. Amer. Math. Soc. 30 (1971), 393-394 Request permission

Abstract:

It is shown in a very simple way that an exponential sum (involving the Legendre symbol) considered by Salié is the sum of two Gauss sums.
References
    L. J. Mordell, On some exponential sums related to Kloosterman sums (submitted for publication). —, On Salié’s sum (submitted for publication). H. Salié, Über die Kloostermanschen Summen $S(u,v;q)$, Math. Z. 34 (1931), 91-109.
  • Kenneth S. Williams, Finite transformation formulae involving the Legendre symbol, Pacific J. Math. 34 (1970), 559–568. MR 269618, DOI 10.2140/pjm.1970.34.559
    • —, On Salié’s sum, J. Number Theory 3 (1971).
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 30 (1971), 393-394
  • MSC: Primary 10.41
  • DOI: https://doi.org/10.1090/S0002-9939-1971-0284408-5
  • MathSciNet review: 0284408