In this talk, the computation of the covolume of the group of units of the
with $d$ an odd, square-free, positive integer, will be described.
The covolume will be expressed in terms of Bernoulli numbers, Dirichlet $L$-functions, and powers of $\pi$.
John Mcleod has recently determined the hyperbolic Coxeter fundamental domain of the reflection subgroup of the group
of units for the case $d = 3$.
We apply our covolume formula to determine the volumes of Mcleod's hyperbolic Coxeter polytopes.
[invited by R. Kellerhals]
|Where?||PER 08 Phys 2.52
Chemin du Musée 3
|Contact||Department of Mathematics