Random polynomials, random matrices and L-functions

DW Farmer; F Mezzadri; NC Snaith

doi:10.1088/0951-7715/19/4/008

Random polynomials, random matrices and L-functions

DW Farmer
, F Mezzadri
, NC Snaith

Research output: Contribution to journal › Article (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 contribution	Random polynomials, random matrices and L-functions
Original language	English
Pages (from-to)	919 - 936
Number of pages	18
Journal	Nonlinearity
Volume	19 (4)
DOIs	https://doi.org/10.1088/0951-7715/19/4/008
Publication status	Published - Apr 2006

Bibliographical note

Publisher: IOP Publishing Ltd

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10.1088/0951-7715/19/4/008

http://www.iop.org/EJ/article/0951-7715/19/4/008/non6_4_008.pdf

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title = "Random polynomials, random matrices and L-functions",

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.",

author = "DW Farmer and F Mezzadri and NC Snaith",

note = "Publisher: IOP Publishing Ltd",

year = "2006",

month = apr,

doi = "10.1088/0951-7715/19/4/008",

language = "English",

volume = "19 (4)",

pages = "919 -- 936",

journal = "Nonlinearity",

issn = "1361-6544",

publisher = "IOP Publishing",

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TY - JOUR

T1 - Random polynomials, random matrices and L-functions

AU - Farmer, DW

AU - Mezzadri, F

AU - Snaith, NC

N1 - Publisher: IOP Publishing Ltd

PY - 2006/4

Y1 - 2006/4

N2 - 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.

AB - 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.

U2 - 10.1088/0951-7715/19/4/008

DO - 10.1088/0951-7715/19/4/008

M3 - Article (Academic Journal)

SN - 1361-6544

VL - 19 (4)

SP - 919

EP - 936

JO - Nonlinearity

JF - Nonlinearity

ER -

Random polynomials, random matrices and L-functions

Abstract

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