On some hybrid power moments of products of generalized quadratic Gauss sums and Kloosterman sums. (English) Zbl 1429.11146
Summary: In this paper, we investigate hybrid power moments of generalized quadratic Gauss sums weighted with powers of Kloosterman sums and with powers of values of Dirichlet \(L\)-functions at 1. We obtain several exact formulas for prime and prime power modulus and some asymptotic formulas.
MSC:
11L05 | Gauss and Kloosterman sums; generalizations |
11T24 | Other character sums and Gauss sums |
11M20 | Real zeros of \(L(s, \chi)\); results on \(L(1, \chi)\) |
Keywords:
generalized quadratic Gauss sums; Kloosterman sums; hybrid power mean values; Dirichlet \(L\)-functionsReferences:
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