On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums

The main purpose of this paper is to use the elementary and analytic methods, the properties of Gauss sums, and character sums to study the computational problem of a certain hybrid power mean involving the Dedekind sums and a character sum analogous to Kloosterman sum and give two interesting identities for them.

On some identities involving certain Hardy sums and Kloosterman sum

UDC 511 We give a new reciprocity theorem for the Hardy sum Also, a hybrid mean value problem involving the Hardy sum and Kloosterman sum is studied and two exact computational formulae are obtained.

Sign Changes of Kloosterman Sums with Almost Prime Moduli. II: Corrigendum

We give a corrigendum to the previous paper [ 8] and recover the same quantitative statement: the Kloosterman sum changes sign infinitely often as the modulus runs over squarefree numbers with at most seven prime factors.