On the $ k $-th power mean of one kind generalized cubic Gauss sums

The main purpose of this paper is using the elementary methods and properties of the recurrence sequence to study the calculating problem of the $ k $-th power mean of one kind generalized cubic Gauss sums, and give an exact calculating formula for it.

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Bibliographic Details
Published inAIMS mathematics Vol. 8; no. 9; pp. 21463 - 21471
Main Authors Liu, Xiaoge, Meng, Yuanyuan
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2023
Subjects
calculating formula
elementary method
k $-th power mean
recurrence sequence
the generalized gauss sums
Online AccessGet full text
ISSN2473-6988
2473-6988
DOI10.3934/math.20231093

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Abstract The main purpose of this paper is using the elementary methods and properties of the recurrence sequence to study the calculating problem of the $ k $-th power mean of one kind generalized cubic Gauss sums, and give an exact calculating formula for it.
AbstractList The main purpose of this paper is using the elementary methods and properties of the recurrence sequence to study the calculating problem of the $ k $-th power mean of one kind generalized cubic Gauss sums, and give an exact calculating formula for it.
Author Meng, Yuanyuan
Liu, Xiaoge
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Cites_doi 10.1090/S0273-0979-1981-14930-2
10.1007/978-1-4757-1779-2
10.1007/s10114-022-0541-8
10.1155/2014/474726
10.1007/978-1-4757-5579-4
10.1016/j.jnt.2013.10.022
10.1515/math-2017-0060
10.3390/math7100907
10.1515/math-2019-0034
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SubjectTerms calculating formula
elementary method
k $-th power mean
recurrence sequence
the generalized gauss sums
Title On the $ k $-th power mean of one kind generalized cubic Gauss sums
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