On some hybrid power moments of products of generalized quadratic Gauss sums and Kloosterman sums*.

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 <italic>L</italic>-functions at 1. We obtain several exact formulas for prime and prime power modulus and some asymptotic formulas. [ABSTRACT FROM AUTHOR]