Autocorrelation of ratios of L-functions

By Brianna L. Conrey, David W. Farmer, M. Zirnbauer. 2007

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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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/aa62dfce4ecb52ab099c9230bbba928397a72ae9