Some Analogues of Pair Correlation of Zeta Zeros

Yunus Karabulut () and Cem Yalçın Yıldırım ()
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Yunus Karabulut: Bog̃aziçi University, Department of Mathematics
Cem Yalçın Yıldırım: Bog̃aziçi University, Department of Mathematics

A chapter in Exploring the Riemann Zeta Function, 2017, pp 113-179 from Springer

Abstract: Abstract By modifying Montgomery’s calculation of the pair correlation of zeta zeros, we derive analogous results. In this article we work out the correlation of zeta zeros with the relative maxima of the zeta-function on the critical line, the pair correlation of these maxima and the correlation of zeros of two Dirichlet L-functions. In each case the relevant Riemann Hypothesis is assumed for obtaining the results. Several auxiliary results necessary for the calculations may be useful in problems about the zeta-function.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-59969-4_7

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DOI: 10.1007/978-3-319-59969-4_7

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