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

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...

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Bibliographic Details
Published in:arXiv.org 2008-09
Main Author: Kilford, L J P
Format: Article
Language:English
Subjects:
Number theory
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Summary: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.
ISSN:2331-8422