Arithmetic properties of Fredholm series forp-adic modular forms

DOI10.1112/plms/pdw031zbMath1368.11042arXiv1506.05307OpenAlexW3100138119MaRDI QIDQ2834910

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Publication date: 25 November 2016

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05307

zbMATH Keywords

weights\(p\)-adic modular formsFredholm series

Mathematics Subject Classification ID

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

Related Items

An explicit computation of the Hecke operator and the ghost conjecture ⋮ Extended eigenvarieties for overconvergent cohomology ⋮ A remark on non-integral \(p\)-adic slopes for modular forms ⋮ Slopes of Overconvergent Hilbert Modular Forms ⋮ Unnamed Item ⋮ Slopes of modular forms and the ghost conjecture, II ⋮ Modular eigenforms at the boundary of weight space ⋮ Upper bounds for constant slope \(p\)-adic families of modular forms ⋮ Overconvergent modular forms and their explicit arithmetic

Uses Software

• SageMath

Cites Work

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• A remark on non-integral \(p\)-adic slopes for modular forms
• On the slopes of the \(U_5\) operator acting on overconvergent modular forms
• \(p\)-adic Banach spaces and families of modular forms
• Classical and overconvergent modular forms of higher level
• The eigencurve over the boundary of weight space
• Slopes of eigencurves over boundary disks
• Ordinary modular forms and companion points on the eigencurve
• Explicit formula of the traces of Hecke operators for \(\Gamma_0(N)\)
• The 3-adic eigencurve at the boundary of weight space
• On some p-adic properties of the eichler-selberg trace formula
• Slopes of overconvergent 2-adic modular forms
• The 2-adic eigencurve at the boundary of weight space
• Slopes of the U₇ operator acting on a space of overconvergent modular forms
• Modular Forms
• Classical and overconvergent modular forms