On the mean values of Dedekind sums

We have tackled some such problems in M.. of

Very recently Mesnager has showed that the value 4 of binary Kloosterman sums gives rise to several infinite classes of bent functions, hyper-bent functions and semi-bent functions

In this paper, we use the elementary and analytic methods to study the mean value properties of the Cochrane sums weighted by two-term exponential sums, and give two exact

Lemma 27.. First, assume that d is odd. Second, assume that d is even.. Clearly, the last assertions of points 2a and 2b follow from Lemma 24.. The proof is complete...

In particular, we obtain an asymptotic formula for such Weyl sums in major arcs, nontrivial upper bounds for them in minor arcs, and moreover a mean value estimate for friable Weyl

The main goal of this paper is to prove a formula that expresses the limit behaviour of Dedekind zeta functions for Re s > 1/2 in families of number fields, assuming that

If it exists, the greatest element of the set of lower bounds

If it exists, the greatest element of the set of lower bounds