On a problem of D. H. Lehmer

被引：6

作者：

Liu, HN ^{[1
]}

Zhang, WP ^{[1
]}

机构：

[1] NW Univ Xian, Dept Math, Xian 710069, Shaanxi, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2006年 / 22卷 / 01期

基金：

美国国家科学基金会;

关键词：

Lehmer problem; error term; mean square value formula;

D O I：

10.1007/s10114-004-0464-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to use the Fourier expansion for character sums and the mean value theorem of Dirichlet L-functions to study the asymptotic property of the difference between a D. H. Lehmer number and its inverse modulo p (an odd prime). A interesting mean square value formula is also given.

引用

页码：61 / 68

页数：8

共 7 条

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