Autocorrelation of ratios of L-functions

2007/11/05 by Conrey, Brian, Farmer, David W., Zirnbauer, Martin R. · 1 citation
#11M26 #15A52 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0711.0718

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.

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