On the Atkin Ut-operator for Γ1(t)-invariant Drinfeld cusp forms

DOI10.1142/S1793042118501555zbMath1454.11092arXiv1710.01036MaRDI QIDQ4961424

Andrea Bandini, Maria Valentino

Publication date: 29 October 2018

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

Full work available at URL: https://arxiv.org/abs/1710.01036

zbMATH Keywords

diagonalizabilityharmonic cocyclesDrinfeld cusp formsslopes of eigenformsAtkin-Lehner operatornewforms and oldforms

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Modular forms associated to Drinfel'd modules (11F52) Hecke-Petersson operators, differential operators (one variable) (11F25) Groups acting on trees (20E08) Matrices, determinants in number theory (11C20)

Related Items (9)

Drinfeld cusp forms: oldforms and newforms ⋮ On the Structure and Slopes of Drinfeld Cusp Forms ⋮ NOTES ON ATKIN–LEHNER THEORY FOR DRINFELD MODULAR FORMS ⋮ 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 ⋮ On the Atkin 𝑈_{𝑡}-operator for Γ₀(𝑡)-invariant Drinfeld cusp forms ⋮ Perfectoid Drinfeld modular forms

Cites Work

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• Hecke operators on Drinfeld cusp forms
• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• Géométrie analytique rigide et applications. (Ridgid analytic geometry and applications)
• Improper Eisenstein series on Bruhat-Tits trees
• Iwasawa modules attached to congruences of cusp forms
• The Poisson Kernel for Drinfeld Modular Curves
• Families of Modular Eigenforms
• FUNDAMENTAL DOMAINS OF SOME ARITHMETIC GROUPS OVER FUNCTION FIELDS
• Classical and overconvergent modular forms

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