Hybrid mean value of 2$k$-th power inversion of $L$-functions and general quartic Gauss sums

Proceedings of the Indian Academy of Sciences. Mathematical sciences

SHIKHA SINGH^1¹ 

[1] Centre for Applied Mathematics, Central University of Jharkhand, Ranchi 835 205, India^1

关键词: Dirichlet $L$-functions;    Gauss sum;    hybrid power mean;    asymptotic formula;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we find the 2$k$-th power mean of the inversion of $L$-functions with the weight of the general quartic Gauss sums. We establish the results with the help of Dirichlet characters and properties of classical Gauss sums. We also describe asymptotic behaviour for it.

【 授权许可】

CC BY