Pair correlation of the zeros of the derivative of the Riemann ξ -function

DOI10.1112/jlms/jdu026zbMath1307.11091arXiv0803.0425OpenAlexW2156910364MaRDI QIDQ2874658

Yoonbok Lee, David W. Farmer, Steven M. Gonek

Publication date: 8 August 2014

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.0425

zbMATH Keywords

zerosRiemann hypothesispair correlation\(\xi\)-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Relations with random matrices (11M50)

Related Items

Some Analogues of Pair Correlation of Zeta Zeros ⋮ Crystallization of random trigonometric polynomials ⋮ Gaps between zeros of the derivative of the Riemann \(\xi \)-function ⋮ The pair correlation of homothetic images of zeros of the Riemann zeta-function ⋮ Band-limited mimicry of point processes by point processes supported on a lattice ⋮ Differentiation evens out zero spacings ⋮ Pair correlation estimates for the zeros of the zeta function via semidefinite programming ⋮ On the pair correlation conjecture and the alternative hypothesis ⋮ On the distribution of zeros of derivatives of the Riemann \(\xi \)-function ⋮ UNEXPECTED AVERAGE VALUES OF GENERALIZED VON MANGOLDT FUNCTIONS IN RESIDUE CLASSES ⋮ On the distribution (mod 1) of the normalized zeros of the Riemann zeta-function ⋮ Correlations of sieve weights and distributions of zeros

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