Hybrid mean values of Dedekind sums via Williams’ transformation formula and applications to Kloosterman sums

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Abstract

By combining analytic number theory methods with Williams’s classical work, this paper investigated the computational problem of a class of power means involving Dedekind sums, and established a novel explicit conversion identity. Furthermore, we obtained exact formulas for even power means of Kloosterman sums via properties of character sums.

Keywords

Dedekind sums / Kloosterman sums / Williams’ transformation formula / asymptotic formula

CHANGE HISTORY

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