A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums

The main purpose of this paper is using the analytic method, A. Weil's classical work for the upper bound estimate of the general exponential sums, and the properties of Gauss sums to study the hybrid mean value problem involving Dedekind sums and the general exponential sums and give a sharp a...

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Detalles Bibliográficos
Autores principales: Li, Jianghua, Wang, Tingting
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4142306/
https://www.ncbi.nlm.nih.gov/pubmed/25180213
http://dx.doi.org/10.1155/2014/914591
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author Li, Jianghua
Wang, Tingting
author_facet Li, Jianghua
Wang, Tingting
author_sort Li, Jianghua
collection PubMed
description The main purpose of this paper is using the analytic method, A. Weil's classical work for the upper bound estimate of the general exponential sums, and the properties of Gauss sums to study the hybrid mean value problem involving Dedekind sums and the general exponential sums and give a sharp asymptotic formula for it.
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spelling pubmed-41423062014-09-01 A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums Li, Jianghua Wang, Tingting ScientificWorldJournal Research Article The main purpose of this paper is using the analytic method, A. Weil's classical work for the upper bound estimate of the general exponential sums, and the properties of Gauss sums to study the hybrid mean value problem involving Dedekind sums and the general exponential sums and give a sharp asymptotic formula for it. Hindawi Publishing Corporation 2014 2014-08-07 /pmc/articles/PMC4142306/ /pubmed/25180213 http://dx.doi.org/10.1155/2014/914591 Text en Copyright © 2014 J. Li and T. Wang. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Li, Jianghua
Wang, Tingting
A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums
title A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums
title_full A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums
title_fullStr A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums
title_full_unstemmed A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums
title_short A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums
title_sort hybrid mean value involving dedekind sums and the general exponential sums
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4142306/
https://www.ncbi.nlm.nih.gov/pubmed/25180213
http://dx.doi.org/10.1155/2014/914591
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