Slopes of modular forms and the ghost conjecture, II

DOI10.1090/tran/7549zbMath1451.11034arXiv1710.01572OpenAlexW2963618668WikidataQ122938283 ScholiaQ122938283MaRDI QIDQ5222740

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Publication date: 3 July 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01572

zbMATH Keywords

overconvergent modular formsghost conjecture\( p\)-adic weight space

Mathematics Subject Classification ID

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

Related Items

Slopes of modular forms and reducible Galois representations, an oversight in the ghost conjecture ⋮ An explicit computation of the Hecke operator and the ghost conjecture ⋮ A local analogue of the ghost conjecture of Bergdall-Pollack

Uses Software

• Magma
• SageMath
• LMFDB

Cites Work

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• Modular forms in characteristic \(\ell\) and special values of their \(L\)-functions
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• The Magma algebra system. I: The user language
• The weight in Serre's conjectures on modular forms
• The eigencurve over the boundary of weight space
• Arithmetic properties of Fredholm series forp-adic modular forms
• The -adic -functions of evil Eisenstein series
• Slopes of Modular Forms and the Ghost Conjecture
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝