## Bulletin of the Belgian Mathematical Society - Simon Stevin

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

#### 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

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 $L(1, \chi)$

#### 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