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Modular eigenforms at the boundary of weight space

Abstract:
Andreatta, Iovita, and Pilloni recently introduced Fp((t))-Banach spaces of overconvergent t-adic modular forms, whose weight may be considered a “boundary” point of weight space. In an effort to make them concrete and accessible to explicit experimentation, we construct orthonormal bases, deduce t-adic analogues of certain p-adic results in the literature, and exhibit explicit examples.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s40993-018-0115-0

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Publisher:
Springer Verlag Publisher's website
Journal:
Research in Number Theory Journal website
Volume:
4
Issue:
2
Pages:
Article: 23
Publication date:
2018-04-30
Acceptance date:
2018-04-19
DOI:
ISSN:
2363-9555
Pubs id:
pubs:929911
URN:
uri:e4554d43-3d34-4743-bd28-fef6a5ca6d56
UUID:
uuid:e4554d43-3d34-4743-bd28-fef6a5ca6d56
Local pid:
pubs:929911

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