One kind hybrid character sums and their upper bound estimates

The main purpose of this paper is applying the analysis method, the properties of Lucas polynomials and Gauss sums to study the estimation problems of some kind hybrid character sums. In the end, we obtain several sharp upper bound estimates for them. As some applications, we prove some new and inte...

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Detalles Bibliográficos
Autores principales: Zhao, Jianhong, Wang, Xiao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061521/
https://www.ncbi.nlm.nih.gov/pubmed/30137888
http://dx.doi.org/10.1186/s13660-018-1753-4
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author Zhao, Jianhong
Wang, Xiao
author_facet Zhao, Jianhong
Wang, Xiao
author_sort Zhao, Jianhong
collection PubMed
description The main purpose of this paper is applying the analysis method, the properties of Lucas polynomials and Gauss sums to study the estimation problems of some kind hybrid character sums. In the end, we obtain several sharp upper bound estimates for them. As some applications, we prove some new and interesting combinatorial identities.
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spelling pubmed-60615212018-08-09 One kind hybrid character sums and their upper bound estimates Zhao, Jianhong Wang, Xiao J Inequal Appl Research The main purpose of this paper is applying the analysis method, the properties of Lucas polynomials and Gauss sums to study the estimation problems of some kind hybrid character sums. In the end, we obtain several sharp upper bound estimates for them. As some applications, we prove some new and interesting combinatorial identities. Springer International Publishing 2018-07-04 2018 /pmc/articles/PMC6061521/ /pubmed/30137888 http://dx.doi.org/10.1186/s13660-018-1753-4 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Zhao, Jianhong
Wang, Xiao
One kind hybrid character sums and their upper bound estimates
title One kind hybrid character sums and their upper bound estimates
title_full One kind hybrid character sums and their upper bound estimates
title_fullStr One kind hybrid character sums and their upper bound estimates
title_full_unstemmed One kind hybrid character sums and their upper bound estimates
title_short One kind hybrid character sums and their upper bound estimates
title_sort one kind hybrid character sums and their upper bound estimates
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061521/
https://www.ncbi.nlm.nih.gov/pubmed/30137888
http://dx.doi.org/10.1186/s13660-018-1753-4
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