Kernels of $L$-functions of cusp forms

Nikolaos Diamantis; Cormac O'Sullivan

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arXiv · 0904.2179

Kernels of $L$-functions of cusp forms

Nikolaos Diamantis·Cormac O'Sullivan

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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.

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Nikolaos Diamantis, Cormac O'Sullivan. 2009-08-18. Kernels of $L$-functions of cusp forms. https://arxiv.org/abs/0904.2179

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