Kernels for products of L-functions
Number Theory
2016-01-20 v3
Abstract
The Rankin-Cohen bracket of two Eisenstein series provides a kernel yielding products of the periods of Hecke eigenforms at critical values. Extending this idea leads to a new type of Eisenstein series built with a double sum. We develop the properties of these series and their non-holomorphic analogs and show their connection to values of L-functions outside the critical strip.
Cite
@article{arxiv.1009.1067,
title = {Kernels for products of L-functions},
author = {Nikolaos Diamantis and Cormac O'Sullivan},
journal= {arXiv preprint arXiv:1009.1067},
year = {2016}
}
Comments
27 pages. In version 3: a formula in section 7 is corrected and the theorem in section 2.3 is stated more clearly. Further small improvements