(1) Departamento de Matemáticas, Universidad Autónoma de Madrid, C. Universitaria de Cantoblanco, 28049 Madrid, Spain
Abstract:
We prove that the mean value of the real parts of the nontrivial zeros of the Epstein zeta-function associated with a positive definite quadratic form in n variables is equal to . Furthermore, we show that Epstein zeta-functions in general have an asymmetric zero-distribution with respect to the critical line Re .
associated with a positive definite quadratic form 
in n variables is equal to 
. Furthermore, we show that Epstein zeta-functions in general have an asymmetric zero-distribution with respect to the critical line Re 
.