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On Kloosterman's sum

Published online by Cambridge University Press:  26 February 2010

T. Estermann
T. Estermann
Affiliation:
University College, London, W.C.1.
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Extract

Let m, n, q denote positive integers, p a prime, and a, b, h, r, s, t, u, v integers. If (r, q) = 1, let [r, q] be the integer s for which 0 < s ≤ q and rs ≡ 1 (modq). Let

Type
Research Article
Information
Mathematika , Volume 8 , Issue 1 , June 1961 , pp. 83 - 86
Copyright
Copyright © University College London 1961

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References

1.Hardy, G. H. and Wright, E. M., An introduction to the theory of numbers (Oxford, 1938).Google Scholar
2.Weil, A., “On some exponential sums”, Proc. Nat. Acad. of Sci.; 34 (1948), 204–207.CrossRefGoogle ScholarPubMed
3.Salié, H., “Über die Kloostermanschen Summen S(u, v; q)”, Math. Zeit., 34 (1931), 91–109.CrossRefGoogle Scholar