On a p-adic extension of the Jacquet-Langlands correspondence to weight 1

2008/09/05 by Kilford, L. J. P.
#11F12 #11F85 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0809.1048

Abstract

We consider a novel version of the classical Jacquet-Langlands correspondence, explore a p-adic extension of the Jacquet-Langlands correspondence, and as an explicit example we find an overconvergent automorphic form of weight~1 which corresponds to a classical modular form of weight~1, using both experimental and theoretical methods.

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