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march 2011 On the Fourth Power Mean of a Sum Analogues to Character Sums Over Short Intervals
Qing Tian, Yanfeng He, Wenpeng Zhang
Bull. Belg. Math. Soc. Simon Stevin 18(1): 73-85 (march 2011). DOI: 10.36045/bbms/1299766489

Abstract

The main purpose of this paper is to study the mean value properties of a sum analogues to character sums by using the estimate for character sums and elementary methods, and finally give two asymptotic formulae for its fourth power mean over short intervals.

Citation

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Qing Tian. Yanfeng He. Wenpeng Zhang. "On the Fourth Power Mean of a Sum Analogues to Character Sums Over Short Intervals." Bull. Belg. Math. Soc. Simon Stevin 18 (1) 73 - 85, march 2011. https://doi.org/10.36045/bbms/1299766489

Information

Published: march 2011
First available in Project Euclid: 10 March 2011

zbMATH: 1282.11103
MathSciNet: MR2808862
Digital Object Identifier: 10.36045/bbms/1299766489

Subjects:
Primary: 11M20

Keywords: Asymptotic formula , character sums , General Kloosterman sum

Rights: Copyright © 2011 The Belgian Mathematical Society

Vol.18 • No. 1 • march 2011
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