Cargando…

On the Fourth Power Mean of the Two-Term Exponential Sums

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 fourth power mean of two-term exponential sums and give an interesting identity and asymptotic formula for it.

Detalles Bibliográficos
Autores principales: Zhang, Han, Zhang, Wenpeng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3914387/
https://www.ncbi.nlm.nih.gov/pubmed/24558325
http://dx.doi.org/10.1155/2014/724840
_version_ 1782302398908203008
author Zhang, Han
Zhang, Wenpeng
author_facet Zhang, Han
Zhang, Wenpeng
author_sort Zhang, Han
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 fourth power mean of two-term exponential sums and give an interesting identity and asymptotic formula for it.
format Online
Article
Text
id pubmed-3914387
institution National Center for Biotechnology Information
language English
publishDate 2014
publisher Hindawi Publishing Corporation
record_format MEDLINE/PubMed
spelling pubmed-39143872014-02-20 On the Fourth Power Mean of the Two-Term Exponential Sums Zhang, Han 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 fourth power mean of two-term exponential sums and give an interesting identity and asymptotic formula for it. Hindawi Publishing Corporation 2014-01-12 /pmc/articles/PMC3914387/ /pubmed/24558325 http://dx.doi.org/10.1155/2014/724840 Text en Copyright © 2014 H. Zhang 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
Zhang, Han
Zhang, Wenpeng
On the Fourth Power Mean of the Two-Term Exponential Sums
title On the Fourth Power Mean of the Two-Term Exponential Sums
title_full On the Fourth Power Mean of the Two-Term Exponential Sums
title_fullStr On the Fourth Power Mean of the Two-Term Exponential Sums
title_full_unstemmed On the Fourth Power Mean of the Two-Term Exponential Sums
title_short On the Fourth Power Mean of the Two-Term Exponential Sums
title_sort on the fourth power mean of the two-term exponential sums
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3914387/
https://www.ncbi.nlm.nih.gov/pubmed/24558325
http://dx.doi.org/10.1155/2014/724840
work_keys_str_mv AT zhanghan onthefourthpowermeanofthetwotermexponentialsums
AT zhangwenpeng onthefourthpowermeanofthetwotermexponentialsums