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arXiv · 1009.1067

Kernels for products of L-functions

Nikolaos Diamantis·Cormac O'Sullivan
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Abstract

The Rankin-Cohen bracket of two Eisenstein series provides a kernel yielding products of the periods of Hecke eigenforms at critical values. Extending this idea leads to a new type of Eisenstein series built with a double sum. We develop the properties of these series and their non-holomorphic analogs and show their connection to values of L-functions outside the critical strip.

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Nikolaos Diamantis, Cormac O'Sullivan. 2011-11-30. Kernels for products of L-functions. https://doi.org/10.2140/ant.2013.7.1883

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