Modular symbols for reductive groups and p-adic Rankin-Selberg convolutions over number fields
Number Theory
2011-11-09 v6
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.
Keywords
Cite
@article{arxiv.0903.1625,
title = {Modular symbols for reductive groups and p-adic Rankin-Selberg convolutions over number fields},
author = {Fabian Januszewski},
journal= {arXiv preprint arXiv:0903.1625},
year = {2011}
}