Local index formulae on noncommutative orbifolds and equivariant zeta functions for the affine metaplectic group

Height Zeta Functions of Equivariant Compactifications of the Heisenberg Group

— We study analytic properties of height zeta functions of equivariant compactifications of the Heisenberg group.

Lefschetz formulae and zeta functions

The connection between Lefschetz formulae and zeta function is explained. As a particular example the theory of the generalized Selberg zeta function is presented. Applications are given to the theory of Anosov flows and prime geodesic theorems.

Equivariant noncommutative index on braided sphere

To some Hecke symmetries (i.e. Yang-Baxter braidings of Hecke type) we associate ”noncommutative varieties” called braided spheres. An example of such a variety is the Podles’ nonstandard quantum sphere. On any braided sphere we introduce and compute an ”equivariant” analogue of Connes’ noncommutative index. In contrast with the Connes’ construction our version of equivariant NC index is based ...

Equivariant KK-theory and noncommutative index theory

Johan Andersson Summation formulae and zeta functions

In this thesis we develop the summation formula ∑ ad−bc=1 c>0 f ( a b c d ) = “main terms”+ ∑ m,n 6=0 1 π ∫ ∞ −∞ σ2ir(|m|)σ2ir(|n|)F (r;m,n)dr |nm||ζ(1 + 2ir)|2