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

作者：Januszewski Fabian^*

来源：Journal fur die Reine und Angewandte Mathematik, 2011, 653: 1-45.

DOI：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 pi and sigma of GL(n) and GL(n-1) over a number field k. If pi and sigma are ordinary at p, our distribution is bounded and yields analyticity of the associated p-adic L-function.

• 出版日期2011-4