Kernels for products of L-functions

Details Kernels for products of L-functions Kernels for products of L-functions

2010-09-06

arxiv.org/abs/1009.1067v3

Mathematics

Number Theory

27 pages. In version 3: a formula in section 7 is corrected and the theorem in section 2.3 is stated more clearly. Further sma

Scientific paper

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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