On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential Sums

The main purpose of this article is using the elementary methods and the properties of the quadratic residue modulo an odd prime p to study the calculating problem of the fourth power mean of one kind two-term exponential sums and give an interesting calculating formula for it.

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Main Author: Jingzhe Wang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/5560902
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author Jingzhe Wang
author_facet Jingzhe Wang
author_sort Jingzhe Wang
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description The main purpose of this article is using the elementary methods and the properties of the quadratic residue modulo an odd prime p to study the calculating problem of the fourth power mean of one kind two-term exponential sums and give an interesting calculating formula for it.
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publishDate 2021-01-01
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spelling doaj-art-6cdcf8baa85b4770bc346e7da7b178352025-02-03T01:05:27ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55609025560902On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential SumsJingzhe Wang0School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010070, Inner Mongolia, ChinaThe main purpose of this article is using the elementary methods and the properties of the quadratic residue modulo an odd prime p to study the calculating problem of the fourth power mean of one kind two-term exponential sums and give an interesting calculating formula for it.http://dx.doi.org/10.1155/2021/5560902
spellingShingle Jingzhe Wang
On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential Sums
Journal of Mathematics
title On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential Sums
title_full On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential Sums
title_fullStr On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential Sums
title_full_unstemmed On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential Sums
title_short On the Hybrid Fourth Power Mean Involving Legendre’s Symbol and One Kind Two-Term Exponential Sums
title_sort on the hybrid fourth power mean involving legendre s symbol and one kind two term exponential sums
url http://dx.doi.org/10.1155/2021/5560902
work_keys_str_mv AT jingzhewang onthehybridfourthpowermeaninvolvinglegendressymbolandonekindtwotermexponentialsums