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

Published 14 Oct 2014 in math.NT | (1410.3888v2)

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.

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