Autocorrelation of ratios of L-functions

Brian Conrey; David W. Farmer; Martin R. Zirnbauer

doi:10.4310/CNTP.2008.v2.n3.a4

Autocorrelation of ratios of L-functions

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

^*Corresponding author for this work

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

80 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 language	English
Pages (from-to)	593-636
Number of pages	44
Journal	Communications in Number Theory and Physics
Volume	2
Issue number	3
DOIs	https://doi.org/10.4310/CNTP.2008.v2.n3.a4
Publication status	Published - 2008

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@article{a4a01e65e800443e97d053cea69cde67,

title = "Autocorrelation of ratios of L-functions",

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.",

author = "Brian Conrey and Farmer, {David W.} and Zirnbauer, {Martin R.}",

year = "2008",

doi = "10.4310/CNTP.2008.v2.n3.a4",

language = "English",

volume = "2",

pages = "593--636",

journal = "Communications in Number Theory and Physics",

issn = "1931-4523",

publisher = "International Press of Boston, Inc.",

number = "3",

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TY - JOUR

T1 - Autocorrelation of ratios of L-functions

AU - Conrey, Brian

AU - Farmer, David W.

AU - Zirnbauer, Martin R.

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

U2 - 10.4310/CNTP.2008.v2.n3.a4

DO - 10.4310/CNTP.2008.v2.n3.a4

M3 - Article (Academic Journal)

SN - 1931-4523

VL - 2

SP - 593

EP - 636

JO - Communications in Number Theory and Physics

JF - Communications in Number Theory and Physics

IS - 3

ER -

Autocorrelation of ratios of L-functions

Abstract

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