On the zeros of the Epstein zeta function

Abstract

In this article, we count the number of consecutive zeros of the Epstein zeta-function, associated to a certain quadratic form, on the critical line with ordinates lying in $[0,T],T$ sufficiently large and which are separated apart by a given positive number $V$.

13 pages, to appear in proceedings of CINTAA, 2006

References in corpus (2)

• Representations of integers by certain positive definite binary quadratic forms
• A remark on a conjecture of Borwein and Choi