The \(p\)-adic constant for mock modular forms associated to CM forms

DOI10.1007/s11139-023-00792-4arXiv2307.01450MaRDI QIDQ6200975

Ryota Tajima

Publication date: 25 March 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.01450

zbMATH Keywords

modular formmock modular formweakly holomorphic modular form\(p\)-adic modular form

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Congruences for modular and (p)-adic modular forms (11F33) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Automorphic forms, one variable (11F12) Hecke-Petersson operators, differential operators (one variable) (11F25)

Cites Work

• Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues
• Cusp forms as \(p\)-adic limits
• Arithmetic of weakly holomorphic Hecke eigenforms
• Coefficients of Harmonic Maass Forms
• p -adic coupling of mock modular forms and shadows
• Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
• Hecke operators for weakly holomorphic modular forms and supersingular congruences
• Mock modular forms as $p$-adic modular forms

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