28 citations · 147 across the 67 of their papers we have counts for
4 papers · 1 filter
F1-schemes and toric varieties
Anton Deitmar
This paper contains a loose collection of remarks on F1-schemes. Etale morphisms and universal coverings are introduced. The relation to toric varieties, at least for integral sche…
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…
Remarks on zeta functions and K-theory over F1
Anton Deitmar
We show that the notion of zeta functions over F1, as given in special cases by Soule', extends naturally to all F1-schemes as defined earlier by the author. We further give two co…
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…