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arXiv · 0903.1625

Modular symbols for reductive groups and p-adic Rankin-Selberg convolutions over number fields

Fabian Januszewski
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Abstract

We give a construction of a wide class of modular symbols attached to reductive groups. As an application we construct a p-adic distribution interpolating the special values of the twisted Rankin-Selberg L-function attached to cuspidal automorphic representations of GL(n) and GL(n-1) over number fields. If the representations are ordinary at p, our distribution is bounded and yields analyticity of the associated p-adic L-function.

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Fabian Januszewski. 2009-05-27. Modular symbols for reductive groups and p-adic Rankin-Selberg convolutions over number fields. https://doi.org/10.1515/crelle.2011.018

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