%0 Journal Article
%T Kernels of $L$-functions of cusp forms
%A Nikolaos Diamantis
%A Cormac O'Sullivan
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0904.2179v2