A New Sum Analogous to Gauss Sums and Its Fourth Power Mean

The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind of new sum analogous to Gauss sums and give an interesting fourth power mean and a sharp upper bound estimate for it.

Detalles Bibliográficos
Autores principales: Ru, Shaofeng, Zhang, Wenpeng
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/PMC4055127/
https://www.ncbi.nlm.nih.gov/pubmed/24977176
http://dx.doi.org/10.1155/2014/139725
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author Ru, Shaofeng
Zhang, Wenpeng
author_facet Ru, Shaofeng
Zhang, Wenpeng
author_sort Ru, Shaofeng
collection PubMed
description The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind of new sum analogous to Gauss sums and give an interesting fourth power mean and a sharp upper bound estimate for it.
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spelling pubmed-40551272014-06-29 A New Sum Analogous to Gauss Sums and Its Fourth Power Mean Ru, Shaofeng Zhang, Wenpeng ScientificWorldJournal Research Article The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind of new sum analogous to Gauss sums and give an interesting fourth power mean and a sharp upper bound estimate for it. Hindawi Publishing Corporation 2014 2014-05-21 /pmc/articles/PMC4055127/ /pubmed/24977176 http://dx.doi.org/10.1155/2014/139725 Text en Copyright © 2014 S. Ru and W. Zhang. 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
Ru, Shaofeng
Zhang, Wenpeng
A New Sum Analogous to Gauss Sums and Its Fourth Power Mean
title A New Sum Analogous to Gauss Sums and Its Fourth Power Mean
title_full A New Sum Analogous to Gauss Sums and Its Fourth Power Mean
title_fullStr A New Sum Analogous to Gauss Sums and Its Fourth Power Mean
title_full_unstemmed A New Sum Analogous to Gauss Sums and Its Fourth Power Mean
title_short A New Sum Analogous to Gauss Sums and Its Fourth Power Mean
title_sort new sum analogous to gauss sums and its fourth power mean
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4055127/
https://www.ncbi.nlm.nih.gov/pubmed/24977176
http://dx.doi.org/10.1155/2014/139725
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