Random matrices and L-functions

JP Keating; NC Snaith

Random matrices and L-functions

Research output: Contribution to journal › Article (Academic Journal) › peer-review

50 Citations (Scopus)

Abstract

In recent years there has been a growing interest in connections between the statistical properties of number theoretical L-functions and random matrix theory. We review the history of these connections, some of the major achievements and a number of applications.

Translated title of the contribution	Random matrices and L-functions
Original language	English
Pages (from-to)	2859 - 2881
Journal	Journal of Physics A: Mathematical and General
Volume	36 (12)
Publication status	Published - 28 Mar 2003

Bibliographical note

Publisher: IOP Publishing Ltd
Other identifier: IDS number 671FP

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title = "Random matrices and L-functions",

abstract = "In recent years there has been a growing interest in connections between the statistical properties of number theoretical L-functions and random matrix theory. We review the history of these connections, some of the major achievements and a number of applications.",

author = "JP Keating and NC Snaith",

note = "Publisher: IOP Publishing Ltd Other identifier: IDS number 671FP",

year = "2003",

month = mar,

day = "28",

language = "English",

volume = "36 (12)",

pages = "2859 -- 2881",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing",

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TY - JOUR

T1 - Random matrices and L-functions

AU - Keating, JP

AU - Snaith, NC

N1 - Publisher: IOP Publishing Ltd Other identifier: IDS number 671FP

PY - 2003/3/28

Y1 - 2003/3/28

N2 - In recent years there has been a growing interest in connections between the statistical properties of number theoretical L-functions and random matrix theory. We review the history of these connections, some of the major achievements and a number of applications.

AB - In recent years there has been a growing interest in connections between the statistical properties of number theoretical L-functions and random matrix theory. We review the history of these connections, some of the major achievements and a number of applications.

M3 - Article (Academic Journal)

VL - 36 (12)

SP - 2859

EP - 2881

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

ER -