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arXiv · 1202.2671

Small gaps between zeros of twisted L-functions

J. B. Conrey·H. Iwaniec·K. Soundararajan
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Abstract

We use the asymptotic large sieve, developed by the authors, to prove that if the Generalized Riemann Hypothesis is true, then there exist many Dirichlet L-functions that have a pair of consecutive zeros closer together than 0.37 times their average spacing. More generally, we investigate zero spacings within the family of twists by Dirichlet characters of a fixed L-function and give precise bounds for small gaps which depend only on the degree of the L-function.

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J. B. Conrey, H. Iwaniec, K. Soundararajan. 2012-02-13. Small gaps between zeros of twisted L-functions. https://arxiv.org/abs/1202.2671

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