On volumes of hyperbolic Coxeter polytopes and quadratic forms

John G. Ratcliffe, Steven T. Tschantz

In this paper, we compute the covolume of the group of units of the quadratic form f_d^n(x) = x_1^2 + x_2^2 + . . . + x_n^2 - d x_{n+1}^2 with d an odd, positive, square-free integ…