On the Atkin 𝑈_{𝑡}-operator for Γ₀(𝑡)-invariant Drinfeld cusp forms

DOI10.1090/proc/14491zbMath1450.11044arXiv1710.01038OpenAlexW2963194470MaRDI QIDQ5232917

Andrea Bandini, Maria Valentino

Publication date: 13 September 2019

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

Full work available at URL: https://arxiv.org/abs/1710.01038

zbMATH Keywords

diagonalizabilityharmonic cocyclesDrinfeld cusp formsslopes of eigenformsAtkin-Lehner operatornewforms and oldforms

Mathematics Subject Classification ID

Modular forms associated to Drinfel'd modules (11F52) Hecke-Petersson operators, differential operators (one variable) (11F25) Groups acting on trees (20E08)

Related Items (12)

Drinfeld cusp forms: oldforms and newforms ⋮ Atkin-Lehner theory for Drinfeld modular forms and applications ⋮ On the Structure and Slopes of Drinfeld Cusp Forms ⋮ Fourier coefficients and slopes of Drinfeld modular forms ⋮ NOTES ON ATKIN–LEHNER THEORY FOR DRINFELD MODULAR FORMS ⋮ The structure of Drinfeld modular forms of level \(\Gamma_0 (T)\) and applications ⋮ HECKE OPERATORS AND DRINFELD CUSP FORMS OF LEVEL ⋮ Canonical subgroups of generalized Drinfeld modules ⋮ \(\wp\)-adic continuous families of Drinfeld eigenforms of finite slope ⋮ Familles de formes modulaires de Drinfeld pour le groupe général linéaire ⋮ Perfectoid Drinfeld modular forms ⋮ Triviality of the Hecke action on ordinary Drinfeld cuspforms of level \(\Gamma_1(t^n)\)

Uses Software

• Mathematica
• PARI/GP

Cites Work

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• On the Atkin Ut-operator for Γ1(t)-invariant Drinfeld cusp forms
• Classical and overconvergent modular forms

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