A note on cusp forms as \(p\)-adic limits

DOI10.1016/j.jnt.2016.04.026zbMath1401.11090arXiv1602.01036OpenAlexW2262282290MaRDI QIDQ301450

Scott Ahlgren, Detchat Samart

Publication date: 30 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01036

zbMATH Keywords

modular formscusp forms as \(p\)-adic limits

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11)

Related Items (2)

Weight 2 CM newforms as \(p\)-adic limits ⋮ Cusp forms as \(p\)-adic limits

Cites Work

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• Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues
• Hecke grids and congruences for weakly holomorphic modular forms
• p -adic coupling of mock modular forms and shadows
• Gauss's₂F₁hypergeometric function and the congruent number elliptic curve
• Congruences Between Systems of Eigenvalues of Modular Forms
• Quadratic AGM and p -adic limits arising from modular forms

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