On zeta functions of orthogonal groups of single-class positive definite quadratic forms
On zeta functions of orthogonal groups of single-class positive definite quadratic forms
Representations of HeckeâShimura rings of integral single-class positive definite quadratic forms on relevant spaces of harmonic forms are considered, and the problem of simultaneous diagonalization of the corresponding Hecke operators is investigated. Explicit relations are deduced between zeta functions of the single-class quadratic forms in two and four variables corresponding …