Kernels of L-functions of cusp forms |
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Authors: | Nikolaos Diamantis Cormac O’Sullivan |
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Institution: | 1. Department of Mathematics, University of Nottingham, Nottingham, UK 2. Department of Mathematics and Computer Science, Bronx Community College, CP 315, 2155 University Avenue, Bronx, NY, 10453, USA
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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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Keywords: | |
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