## Taiwanese Journal of Mathematics

### MEAN VALUE OF THE CHARACTER SUMS OVER INTERVAL

Zhefeng Xu

#### Abstract

Let $q\gt 8$ be an odd integer and $p$ a prime with $p$ a prime with $p\lt q$ and $p\nmid q$. The main purpose of this paper is to study the mean value properties of the character sums over interval $\left[1, \frac{q}{8}\right)$ by using the mean value theorems of the Dirichlet L-functions,and give some interesting mean value formulae.

#### Article information

Source
Taiwanese J. Math., Volume 13, Number 1 (2009), 169-187.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500405277

Digital Object Identifier
doi:10.11650/twjm/1500405277

Mathematical Reviews number (MathSciNet)
MR2489312

Zentralblatt MATH identifier
1196.11115

Subjects
Primary: 11L40: Estimates on character sums

#### Citation

Xu, Zhefeng. MEAN VALUE OF THE CHARACTER SUMS OVER INTERVAL. Taiwanese J. Math. 13 (2009), no. 1, 169--187. doi:10.11650/twjm/1500405277. https://projecteuclid.org/euclid.twjm/1500405277

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