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(Deninger's) Lefschetz trace formula
 C. Deninger, "Motivic L-functions and regularized
determinants", Proc. Symp. Pure Math. 55 1 (1994) 707-743.
 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)
 C. Deninger, "Some analogies between
number theory and dynamical systems on foliated spaces",
Documenta Mathematica, Extra Volume ICM I (1998) 163-186. [PS format]
 C. Deninger, "A note on arithmetic
topology and dynamical systems"
 C. Deninger, "On the nature of the
'explicit formulas' in analytic number theory - a simple example"
 C. Deninger, "Number theory and dynamical
systems on foliated spaces"
 A. Deitmar and C. Deninger,
Lefschetz trace formula for algebraic Anosov diffeomorphisms"
In the papers  and , 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
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  in favour of a possible cohomological interpretation of the Riemann
Deninger's home page
trace formulae, explicit formulae and number theory page