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Licensed Unlicensed Requires Authentication Published by De Gruyter December 14, 2010

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

  • Fabian Januszewski EMAIL logo

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 π and σ of GLn and GLn–1 over a number field k. If π and σ are ordinary at 𝔭, our distribution is bounded and yields analyticity of the associated 𝔭-adic L-function.

Received: 2009-05-28
Revised: 2009-11-06
Published Online: 2010-12-14
Published in Print: 2011-April

© Walter de Gruyter Berlin · New York 2011

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