Bulletin of the Belgian Mathematical Society - Simon Stevin

On the Fourth Power Mean of a Sum Analogues to Character Sums Over Short Intervals

Qing Tian, Yanfeng He, and Wenpeng Zhang

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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.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 18, Number 1 (2011), 73-85.

Dates
First available in Project Euclid: 10 March 2011

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1299766489

Digital Object Identifier
doi:10.36045/bbms/1299766489

Mathematical Reviews number (MathSciNet)
MR2808862

Zentralblatt MATH identifier
1282.11103

Subjects
Primary: 11M20: Real zeros of $L(s, \chi)$; results on $L(1, \chi)$

Keywords
Character sums General Kloosterman sum Asymptotic formula

Citation

Tian, Qing; He, Yanfeng; Zhang, Wenpeng. On the Fourth Power Mean of a Sum Analogues to Character Sums Over Short Intervals. Bull. Belg. Math. Soc. Simon Stevin 18 (2011), no. 1, 73--85. doi:10.36045/bbms/1299766489. https://projecteuclid.org/euclid.bbms/1299766489


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