On the set .

The main purpose of this paper is to use the M. Toyoizumi's important work, the properties of the Dedekind sums and the estimates for character sums to study a hybrid mean value of the Dedekind sums, and give a sharper asymptotic formula for it.

A gap theorem for pseudoprimes in arithmetic progressions

A. Rotkiewicz, H. Halberstam (1968)

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Distribution of difference between inverses of consecutive integers modulo $p$ .

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