Gamma factors of pairs and a local converse theorem in families

2014/12/11 by Moss, Gilbert
#11F33 #11S37 #11S40 #22E50 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1412.3500

Abstract

We prove a GL(n)xGL(n-1) local converse theorem for l-adic families of smooth representations of GL(n,F) where F is a finite extension of Q_p and l is different from p. To do so, we also extend the theory of Rankin-Selberg integrals, first introduced by Jacquet, Piatetski-Shapiro, and Shalika, to the setting of families, continuing previous work of the author.

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