A remark on non-integral p-adic slopes for modular forms

Bergdall, John; Pollack, Robert

doi:10.1016/j.crma.2017.01.012

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A remark on non-integral p-adic slopes for modular forms

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Pollack, Robert
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1016/j.crma.2017.01.012
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MPIM Preprint series 2018-35.pdf
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Citation

Bergdall, J., & Pollack, R. (2017). A remark on non-integral p-adic slopes for modular forms. Comptes Rendus Mathématique, 355(3), 260-260. doi:10.1016/j.crma.2017.01.012.

Cite as: https://hdl.handle.net/21.11116/0000-0009-E0FB-F

Abstract

We give a sufficient condition, namely "Buzzard irregularity", for there to
exist a cuspidal eigenform which does not have integral p-adic slope.