28 citations · 147 across the 67 of their papers we have counts for
11 papers · 1 filter
Geometric zeta functions with non-unitary twists
Anton Deitmar
It is shown that the zeta functions of Ruelle and Selberg admit analytic continuation to meromorphic functions on the plane for every compact locally-symmetric space and every non-…
Holomorphic torsion and closed geodesics
Anton Deitmar
The holomorphic torsion of a hermitian locally symmetric space is expressed as a special value of a geometric zeta function.
Iterated integrals over higher dimensional loops
Anton Deitmar, Ivan Horozov
We give a definition of higher dimensional iterated integrals based on integration over membranes. We prove basic properties of this definition and formulate a conjecture which ext…
Iterated Integrals and higher order invariants
Anton Deitmar, Ivan Horozov
We deduce from the work of Chen, that the restriction morphism from closed free iterated integrals to closed iterated integrals on loops is onto. We use this to show that the modul…
Fourier expansion along geodesics
Anton Deitmar
For an eigenfunction of the Laplacian on a hyperbolic Riemann surface, the coefficients of the Fourier expansion are described as intertwining functionals. All intertwiners are cla…
A prime geodesic theorem for SL(4)
Anton Deitmar, Mark Pavey
A prime geodesic theorem is proven for singular geodesics in quotients of SL(4). This is a case where regularity assumptions of previous papers fail. As a consequence, the analysis…