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On Hloosterman Sums with Oscillating Coefficients

Published online by Cambridge University Press:  20 November 2018

D. Hajela ,
A. Pollington  and
B. Smith
D. Hajela
Affiliation:
Bell Communications research Morristown, New Jersey07960
A. Pollington
Affiliation:
Brigham Young University, Provo, Utah 84602
B. Smith
Affiliation:
Bell Communications Research Morristown, New Jersey07960
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Abstract

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An estimate for Kloosterman sums with oscillating coefficients is presented. Precisely we show: for any ϵ > 0 and a, b positive integers with (a, b) — 1 we have,

Similar techniques may be used to estimate other Kloosterman sums with oscillating coefficients which are not smooth.

Keywords

10G10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 1 , 01 March 1988 , pp. 32 - 36
Copyright
Copyright © Canadian Mathematical Society 1988

References

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