On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums

The main purpose of this paper is using the properties of Gauss sums and the mean value theorem of Dirichlet L-functions to study one kind of hybrid mean value problems involving Kloosterman sums and sums analogous to Dedekind sums and give two exact computational formulae for them.

Saved in:
Bibliographic Details
Main Authors: Di Han, Wenpeng Zhang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/760505
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850215603632078848
author Di Han
Wenpeng Zhang
author_facet Di Han
Wenpeng Zhang
author_sort Di Han
collection DOAJ
description The main purpose of this paper is using the properties of Gauss sums and the mean value theorem of Dirichlet L-functions to study one kind of hybrid mean value problems involving Kloosterman sums and sums analogous to Dedekind sums and give two exact computational formulae for them.
format Article
id doaj-art-7ee7c1b32d4846fbbe21346345730c25
institution OA Journals
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-7ee7c1b32d4846fbbe21346345730c252025-08-20T02:08:35ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/760505760505On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind SumsDi Han0Wenpeng Zhang1Department of Mathematics, Northwest University, Xi'an, Shaanxi 710127, ChinaDepartment of Mathematics, Northwest University, Xi'an, Shaanxi 710127, ChinaThe main purpose of this paper is using the properties of Gauss sums and the mean value theorem of Dirichlet L-functions to study one kind of hybrid mean value problems involving Kloosterman sums and sums analogous to Dedekind sums and give two exact computational formulae for them.http://dx.doi.org/10.1155/2013/760505
spellingShingle Di Han
Wenpeng Zhang
On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums
Abstract and Applied Analysis
title On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums
title_full On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums
title_fullStr On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums
title_full_unstemmed On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums
title_short On the Hybrid Mean Value Involving Kloosterman Sums and Sums Analogous to Dedekind Sums
title_sort on the hybrid mean value involving kloosterman sums and sums analogous to dedekind sums
url http://dx.doi.org/10.1155/2013/760505
work_keys_str_mv AT dihan onthehybridmeanvalueinvolvingkloostermansumsandsumsanalogoustodedekindsums
AT wenpengzhang onthehybridmeanvalueinvolvingkloostermansumsandsumsanalogoustodedekindsums