**Warning!** This page is very much **under
construction**. If you are already familiar with the subject matter, I would appreciate
any help you might provide. If you are seeking information on the
subject matter, I would be interested to hear what you would ultimately
like this page to contain. Thank you.

[1] C. Deninger, "Motivic *L*-functions and regularized
determinants", *Proc. Symp. Pure Math.* **55** 1 (1994) 707-743.

[2] C. Deninger, "Some ideas on dynamical systems and
the Riemann zeta function" (preprint from proceedings of the 1997
ESI conference on the Riemann zeta function)

[3] C. Deninger, "Some analogies between
number theory and dynamical systems on foliated spaces",
*Documenta Mathematica*, Extra Volume **ICM I** (1998) 163-186. [PS format]

[4] C. Deninger, "A note on arithmetic
topology and dynamical systems"

[5] C. Deninger, "On the nature of the
'explicit formulas' in analytic number theory - a simple example"

[6] C. Deninger, "Number theory and dynamical
systems on foliated spaces"

[7] A. Deitmar and C. Deninger,
"A dynamical
Lefschetz trace formula for algebraic Anosov diffeomorphisms"

In the papers [2] and [3], Deninger considers dynamical systems (flows) on foliated
manifolds. Much like the Selberg-Weil coincidence, he has
identified a similarity between

- the trace formulae for such flows (relating periodic orbits and
spectra) and

- certain
explicit formulae for the Dedekind
zeta functions associated with number
fields (these generalise the Riemann zeta function which is a special
case when the number field in question is
**R**). This relates to Deninger's earlier
arguments [1] in favour of a possible cohomological interpretation of the Riemann
zeta function.

**C.
Deninger's home page**