Random polynomials, random matrices and L-functions

DW Farmer, F Mezzadri, NC Snaith

Research output: Contribution to journalArticle (Academic Journal)peer-review

6 Citations (Scopus)

Abstract

We show that the Circular Orthogonal Ensemble of random matrices arises naturally from a family of random polynomials. This sheds light on the appearance of random matrix statistics in the zeros of the Riemann zeta-function.
Translated title of the contributionRandom polynomials, random matrices and L-functions
Original languageEnglish
Pages (from-to)919 - 936
Number of pages18
JournalNonlinearity
Volume19 (4)
DOIs
Publication statusPublished - Apr 2006

Bibliographical note

Publisher: IOP Publishing Ltd

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