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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 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