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

DOI10.1016/j.crma.2017.01.012zbMath1417.11052arXiv1611.01497OpenAlexW2556969736MaRDI QIDQ517486

Yong-Cai Geng, Sumit K. Garg

Publication date: 23 March 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01497

zbMATH Keywords

Dirichlet character\(p\)-adic slopeBuzzard irregularity

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) (p)-adic theory, local fields (11F85)

Related Items (2)

Slopes of eigencurves over boundary disks ⋮ Arithmetic properties of Fredholm series forp-adic modular forms

Cites Work

• Unnamed Item
• Modular forms in characteristic \(\ell\) and special values of their \(L\)-functions
• On ordinary \(\lambda\)-adic representations associated to modular forms
• Dimension variation of classical and \(p\)-adic modular forms
• \(p\)-adic Banach spaces and families of modular forms
• The weight in Serre's conjectures on modular forms
• Arithmetic properties of Fredholm series forp-adic modular forms
• Slopes of Modular Forms
• Explicit Reduction Modulo p of Certain Two-Dimensional Crystalline Representations
• Classical and overconvergent modular forms

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