9 citations · 29 across the 9 of their papers we have counts for
7 papers · 1 filter
Arithmetic Geometry and Analysis on Foliated Spaces
C. Deninger
This report on the topics in the title was written for a lecture series at the Southwestern Center for Arithmetic Algebraic Geometry at the University of Arizona.It may serve as an…
Vector bundles and p-adic representations I
C. Deninger, A. Werner
We define and study a certain category of vector bundles on a p-adic curve to which we can associate in a functorial way finite dimensional p-adic representations of the geometric…
Two-variable zeta functions and regularized products
Christopher Deninger
In this paper we prove a regularized product expansion for the two-variable zeta functions of number fields introduced by van der Geer and Schoof. The proof is based on a general c…
Exchanging the places p and infinity in the Leopoldt conjecture
Christopher Deninger
The Leopoldt conjecture is concerned with the image of the global units in the local units at the primes dividing p. In the definition of the global units the infinite place is dis…
A note on arithmetic topology and dynamical systems
Christopher Deninger
We discuss analogies between the etale site of arithmetic schemes and the algebraic topology of dynamical systems. The emphasis is on Lefschetz numbers. We also discuss similaritie…
On the nature of the "explicit formulas" in analytic number theory - a simple example
Christopher Deninger
We interpret the "explicit formulas" in the sense of analytic number theory for the zeta function of an elliptic curve over a finite field as a transversal index theorem on a 3-dim…