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

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

2008-09-05

arxiv.org/abs/0809.1048v1

Mathematics

Number Theory

17 pages

Scientific paper

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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