Kernels of $L$-functions of cusp forms
Number Theory
2009-08-18 v2
Abstract
We give a new expression for the inner product of two kernel functions associated to a cusp form. Among other applications, it yields an extension of a formula of Kohnen and Zagier, and another proof of Manin's Periods Theorem. Cohen's representation of these kernels as series is also generalized.
Cite
@article{arxiv.0904.2179,
title = {Kernels of $L$-functions of cusp forms},
author = {Nikolaos Diamantis and Cormac O'Sullivan},
journal= {arXiv preprint arXiv:0904.2179},
year = {2009}
}
Comments
22 pages