
doi: 10.3934/math.2021654
<abstract><p>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.</p></abstract>
calculating formula, a certain generalized quadratic Gauss sums, Estimates on exponential sums, Estimates on character sums, \(\zeta (s)\) and \(L(s, \chi)\), a certain generalized quadratic gauss sums, QA1-939, Asymptotic results on arithmetic functions, Gauss and Kloosterman sums; generalizations, Mathematics, the sixth power mean, congruence equation
calculating formula, a certain generalized quadratic Gauss sums, Estimates on exponential sums, Estimates on character sums, \(\zeta (s)\) and \(L(s, \chi)\), a certain generalized quadratic gauss sums, QA1-939, Asymptotic results on arithmetic functions, Gauss and Kloosterman sums; generalizations, Mathematics, the sixth power mean, congruence equation
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 3 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
