The Generalized Quadratic Gauss Sum and Its Fourth Power Mean

Shimeng Shen and Wenpeng Zhang
Additional contact information
Shimeng Shen: School of Mathematics, Northwest University, Xi’an 710127, China
Wenpeng Zhang: School of Mathematics, Northwest University, Xi’an 710127, China

Mathematics, 2019, vol. 7, issue 3, 1-10

Abstract: In this article, our main purpose is to introduce a new and generalized quadratic Gauss sum. By using analytic methods, the properties of classical Gauss sums, and character sums, we consider the calculating problem of its fourth power mean and give two interesting computational formulae for it.

Keywords: the generalized quadratic Gauss sums; the fourth power mean; analytic method; computational formula (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/3/258/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/3/258/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:3:p:258-:d:213264

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().