Period relations and p-adic measures

Abstract

Let (π,σ) be a pair of cuspidal automorphic representations of GL n × GL n −1 over the adele ring of ℚ having non-vanishing cohomology with constant coefficients. The p-adic distribution interpolating the critical values of the twisted corresponding Rankin–Selberg convolution is shown to be p-adically bounded thus leading to an associated p-adic L-function.