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

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

2009-03-09

arxiv.org/abs/0903.1625v6

Mathematics

Number Theory

Scientific paper

10.1515/CRELLE.2011.018

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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