Autocorrelation of ratios of L-functions
Number Theory
2007-12-06 v3 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0711.0718,
title = {Autocorrelation of ratios of L-functions},
author = {Brian Conrey and David W. Farmer and Martin R. Zirnbauer},
journal= {arXiv preprint arXiv:0711.0718},
year = {2007}
}
Comments
Minor corrections