Hybrid mean value of 2k\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{2k}$$\end{document}-th power inversion of L\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{L}$$\end{document}-functions and general quartic Gauss sums

被引：0

作者：

Shikha Singh

Jagmohan Tanti

机构：

[1] Central University of Jharkhand,Centre for Applied Mathematics

来源：

Proceedings - Mathematical Sciences | 2019年 / 129卷 / 2期

关键词：

Dirichlet ; -functions; Gauss sum; hybrid power mean; asymptotic formula; 11L05;

D O I：

10.1007/s12044-018-0460-x

中图分类号：

学科分类号：

摘要：

In this paper, we find the 2k-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.

引用

共 9 条

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Zhang W(1993)-th Power mean of Dirichlet Chinese J. Contemporary Math. 14 1-7

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Zhang W(2002)-functions with the weight of Gauss sums Nagoya Math. J. 167 1-15

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Zhang W(2002)On the J. Number Theory 92 304-314

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Deng Y(2017)-th power mean of inversion of Dirichlet J. Number Theory 179 77-87

[7]

Zhang W(undefined)-function undefined undefined undefined-undefined

[8]

Zhang W(undefined)A hybrid mean value of the inversion of undefined undefined undefined-undefined

[9]

Duan R(undefined)-functions and general quadratic Gauss sums undefined undefined undefined-undefined

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