Kernels of L-functions of cusp forms

2009/04/14 by Nikolaos Diamantis, Diamantis, Nikolaos, Cormac O’Sullivan +1 · 1 citation
Mathematics · #11F11 #11F67 #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0904.2179

openalex publication_date 2009/04/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Combinatorics of Maass–Shimura operators

Cited by

• Convolution identities for complex-indexed divisor functions and modular graph functions

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