Communications in Number Theory and Physics
Volume 2 (2008)
Autocorrelation of ratios of $L$-functions
Pages: 593 – 636
We give a new heuristic for all of the main terms in thequotient of products of $L$-functions averaged over a family.These conjectures generalize the recent conjecturesfor mean values of $L$-functions. Comparison is made to theanalogous quantities for the characteristic polynomials ofmatrices averaged over a classical compact group.