On the mean values of Dedekind sums
In this paper we study the asymptotic behavior of the mean value of Dedekind sums, and give a sharper asymptotic formula.
In this paper we study the asymptotic behavior of the mean value of Dedekind sums, and give a sharper asymptotic formula.
The family of symmetric powers of an L-function associated with an elliptic curve with complex multiplication has received much attention from algebraic, automorphic and p-adic points of view. Here we examine one explicit such family from the perspectives of classical analytic number theory and random matrix theory, especially focusing on evidence for the symmetry type of the family. In particular, we investigate the values at the central point and give evidence that this family can be modeled by...