Gaps between zeros of Dedekind zeta-functions of quadratic number fields. II

Abstract

Let $K$ be a quadratic number field and ${\zeta }_K(s)$ be the associated Dedekind zeta-function. We show that there are infinitely many normalized gaps between consecutive zeros of ${\zeta }_K(s)$ on the critical line which are greater than $2.866$ times the average spacing.

12 pages; to appear in the Quarterly Journal of Mathematics

References in corpus (2)

• A note on the gaps between consecutive zeros of the Riemann zeta-function
• Gaps between zeros of GL(2) $L$-functions

Cited by in corpus (1)

• Gaps between zeros of GL(2) $L$-functions