Note on Salié’s sum
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- by Kenneth S. Williams
- Proc. Amer. Math. Soc. 30 (1971), 393-394
- DOI: https://doi.org/10.1090/S0002-9939-1971-0284408-5
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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).
Bibliographic 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