Autocorrelation of ratios of L-functions

Brian Conrey*, David W. Farmer, Martin R. Zirnbauer

*Corresponding author for this work

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

57 Citations (Scopus)

Abstract

We give a new heuristic for all of the main terms in the quotient of products of L-functions averaged over a family. These conjectures generalize the recent conjectures for mean values of L-functions. Comparison is made to the analogous quantities for the characteristic polynomials of matrices averaged over a classical compact group.

Original languageEnglish
Pages (from-to)593-636
Number of pages44
JournalCommunications in Number Theory and Physics
Volume2
Issue number3
DOIs
Publication statusPublished - 2008

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