On the $2k$-th power mean of $\frac {L'}L(1,\chi )$ with the weight of Gauss sums

Title:

On the $2k$-th power mean of $\frac {L'}L(1,\chi )$ with the weight of Gauss sums

Creator:

Ren, Dongmei and Yi, Juan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:0f1b7f3a-e6a8-4602-83a9-8a339d32caa8
uuid:0f1b7f3a-e6a8-4602-83a9-8a339d32caa8

Subject:

Dirichlet L-function, Gauss sums, and asymptotic formula

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The main purpose of this paper is to study the hybrid mean value of $\frac {L'}L(1,\chi )$ and Gauss sums by using the estimates for trigonometric sums as well as the analytic method. An asymptotic formula for the hybrid mean value $\sum _{\chi \neq \chi _0} |\tau (\chi )| |\frac {L'}L(1,\chi )|^{2k}$ of $\frac {L'}L$ and Gauss sums will be proved using analytic methods and estimates for trigonometric sums.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

781-789

Source:

Czechoslovak Mathematical Journal | 2009 Volume:59 | Number:3

Harvested from:

CDK

Metadata only:

false