Averages of ratios of characteristic polynomials for the compact classical groups

JB Conrey, PJ Forrester, NC Snaith

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

24 Citations (Scopus)

Abstract

Averages of ratios of characteristic polynomials for the compact classical groups are evaluated in terms of determinants whose dimensions are independent of the matrix rank. These formulas are shown to be equivalent to expressions for the same averages obtained in a previous study, which was motivated by applications to analytic number theory. Our approach uses classical methods of random matrix theory, in particular determinants and orthogonal polynomials, and can be considered more elementary than the method of Howe pairs used in the previous study.
Translated title of the contributionAverages of ratios of characteristic polynomials for the compact classical groups
Original languageEnglish
Pages (from-to)397 - 431
Number of pages35
JournalInternational Mathematics Research Notices
Volume2005 (7)
DOIs
Publication statusPublished - Feb 2005

Bibliographical note

Publisher: Hindawi Publishing Corporation
Other identifier: IDS Number: 915MS

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