Dedekind sums and signatures of intersection forms.
Dedekind sums, ..-invariants and the signature cocycle.
Dedekind sums involving Jacobi modular forms and special values of Barnes zeta functions
In this paper we study three new shifted sums of Apostol-Dedekind-Rademacher type. The first sums are written in terms of Jacobi modular forms, and the second sums in terms of cotangent and the third sums are expressed in terms of special values of the Barnes multiple zeta functions. These sums generalize the classical Dedekind-Rademacher sums. The main aim of this paper is to state and prove the Dedekind reciprocity laws satisfied by these new sums. As an application of our Dedekind reciprocity...
Determining modular forms of general level by central values of convolution L-functions
Distribution of the values of Hecke -functions at the point 1.