arXiv:0711.0718 Abstract | arXiv Analytics

arXiv:0711.0718 [math.NT]Abstract References Reviews Resources

Autocorrelation of ratios of L-functions

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

Published 2007-11-05, updated 2007-12-05Version 3

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.

Comments: Minor corrections

Categories: math.NT, math-ph, math.MP

Subjects: 11M26, 15A52

Keywords: l-functions, autocorrelation, main terms, conjectures, mean values

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