Kernels of $L$-functions of cusp forms

Details Kernels of $L$-functions of cusp forms Kernels of $L$-functions of cusp forms

2009-04-14

arxiv.org/abs/0904.2179v2

Mathematics

Number Theory

22 pages

Scientific paper

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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