Character average of fourth power of Dirichlet L-series at unity

Proceedings of the Indian Academy of Sciences. Mathematical sciences

VIVEK V RANE^1¹ 

[1] A-3/203, Anand Nagar, Dahisar, Mumbai 400 068, India^1

关键词: Hurwitz zeta function;    Dirichlet character;    Dirichlet $L$-series;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

For a Dirichlet character modulo an integer $q \geq 3$, we use a highly simple elementary method to give an asymptotic formula for $\sum_{\chi \neq \chi 0(\rm mod q)} |L(1, \chi)|^{4}$, where $\chi 0(\rm mod q)$ is the principal character. This result seems to be new.

【 授权许可】

CC BY