33 citations · 121 across the 38 of their papers we have counts for
13 papers · 1 filter
Is there a Birch and Swinnerton-Dyer conjecture for Dedekind zeta functions?
Christopher Deninger
A Birch and Swinnerton-Dyer conjecture for number fields would assert that for some vector space functorially attached to . Pr…
Primes, knots and periodic orbits
Christopher Deninger
This is a text written for the Ennio De Giorgi Colloquio volume. It covers analogies between algebraic number theory and knot theory, analogies between analytic number theory and c…
An alternative to Witt vectors
Joachim Cuntz, Christopher Deninger
The ring of Witt vectors associated to a ring R is a classical tool in algebra. We introduce a ring C(R) which is more easily constructed and which is isomorphic to the ring of Wit…
The Hilbert-Polya strategy and height pairings
C. Deninger
Previously we gave a conjectural cohomological argument for the validity of the Riemann hypotheses for Hasse-Weil zeta functions. In the present note we sketch how the same cohomol…
Analogies between analysis on foliated spaces and arithmetic geometry
C. Deninger
We point out analogies between (a) the explicit formulas in analytic number theory and transversal index theory, (b) Lichtenbaum's recent conjectures on special values of Hasse-Wei…
A dynamical systems analogue of Lichtenbaum's conjectures on special values of Hasse-Weil zeta functions
Christopher Deninger
In recent years Lichtenbaum has conjectured a description for the special values of Hasse--Weil zeta functions in terms of ``Weil-étale cohomology''. In earlier papers we studied a…