In this talk, the computation of the covolume of the group of units of the
quadratic form
$$x_1^2+x_2^2+\cdots +x_n^2-d\hspace{.01in}x_{n+1}^2$$
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]
When? | 20.11.2012 17:15 |
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Where? | PER 08 Phys 2.52 Chemin du Musée 3, 1700 Fribourg |
Contact | Department of Mathematics isabella.schmutz@unifr.ch |