The hybrid power mean of the quartic Gauss sums and the two-term exponential sums

In this paper, we use the analytic method and the properties of classical Gauss sums to study the computational problems of one kind hybrid power mean of quartic Gauss sums and two-term exponential sums, and give an interesting fourth-order linear recurrence formula for it.

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Bibliographic Details
Published inAdvances in difference equations Vol. 2018; no. 1; pp. 1 - 10
Main Author Li, Xiaoxue
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 11.07.2018
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Analytic method
Difference and Functional Equations
Functional Analysis
Hybrid power mean
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Quartic Gauss sums
Sums
Two-term exponential sums
Quartic Gauss sums
Analytic method
11L05
11L07
Two-term exponential sums
Hybrid power mean
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Summary:In this paper, we use the analytic method and the properties of classical Gauss sums to study the computational problems of one kind hybrid power mean of quartic Gauss sums and two-term exponential sums, and give an interesting fourth-order linear recurrence formula for it.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-018-1658-z