Open AccessThe generalized quadratic Gauss sums and its sixth power mean
Author(s) -
Xingxing Lv,
Wenpeng Zhang
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021654
Subject(s) - quadratic gauss sum , legendre symbol , mathematics , quadratic equation , gauss sum , gauss , congruence (geometry) , quadratic residue , legendre polynomials , pure mathematics , binary quadratic form , quadratic function , combinatorics , mathematical analysis , geometry , physics , quantum mechanics
In this article, we using elementary methods, the number of the solutions of some congruence equations and the properties of the Legendre's symbol to study the computational problem of the sixth power mean of a certain generalized quadratic Gauss sums, and to give an exact calculating formula for it.