On the Structure and Slopes of Drinfeld Cusp Forms

DOI10.1080/10586458.2019.1671921OpenAlexW3100621298WikidataQ126804812 ScholiaQ126804812MaRDI QIDQ5094496

Maria Valentino, Andrea Bandini

Publication date: 3 August 2022

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02032

zbMATH Keywords

Fricke involutionAtkin operatorDrinfeld cusp formsslopes of eigenformsnewforms and oldforms

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Modular forms associated to Drinfel'd modules (11F52) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (3)

Fourier coefficients and slopes of Drinfeld modular forms ⋮ NOTES ON ATKIN–LEHNER THEORY FOR DRINFELD MODULAR FORMS ⋮ HECKE OPERATORS AND DRINFELD CUSP FORMS OF LEVEL

Uses Software

• Mathematica

Cites Work

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• On the trace and norm maps from \(\Gamma_0(\mathfrak{p})\) to \(\mathrm{GL}_2(A)\)
• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• On the coefficients of Drinfeld modular forms
• Géométrie analytique rigide et applications. (Ridgid analytic geometry and applications)
• On the semi-simplicity of the \(U_p\)-operator on modular forms
• Families of modular forms
• A counterexample to the Gouvêa-Mazur conjecture
• Improper Eisenstein series on Bruhat-Tits trees
• \(A\)-expansions of Drinfeld modular forms
• A construction of \(\mathfrak{v}\)-adic modular forms
• Iwasawa modules attached to congruences of cusp forms
• Modular forms for Fr [T.]
• The Poisson Kernel for Drinfeld Modular Curves
• Families of Modular Eigenforms
• FUNDAMENTAL DOMAINS OF SOME ARITHMETIC GROUPS OVER FUNCTION FIELDS
• Jacobians of Drinfeld modular curves.
• On the Atkin Ut-operator for Γ1(t)-invariant Drinfeld cusp 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
• Classical and overconvergent modular forms

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