Triviality of the Hecke action on ordinary Drinfeld cuspforms of level \(\Gamma_1(t^n)\)

DOI10.1515/CRELLE-2022-0058OpenAlexW4297492850MaRDI QIDQ2093202

Shin Hattori

Publication date: 7 November 2022

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.07323

zbMATH Keywords

Hecke operatorsDrinfeld cuspforms

Mathematics Subject Classification ID

Modular forms associated to Drinfel'd modules (11F52)

Cites Work

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• Hecke operators on Drinfeld cusp forms
• On the coefficients of Drinfeld modular forms
• \(\wp\)-adic continuous families of Drinfeld eigenforms of finite slope
• \(A\)-expansions of Drinfeld modular forms
• The Poisson Kernel for Drinfeld Modular Curves
• FUNDAMENTAL DOMAINS OF SOME ARITHMETIC GROUPS OVER FUNCTION FIELDS
• Jacobians of Drinfeld modular curves.
• Duality of Drinfeld modules and ℘‐adic properties of Drinfeld modular forms
• Dimension Variation of Gouvêa–Mazur Type for Drinfeld Cuspforms of Level Γ1(t)
• On the Atkin 𝑈_{𝑡}-operator for Γ₀(𝑡)-invariant Drinfeld cusp forms

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