Improper Eisenstein series on Bruhat-Tits trees

DOI10.1007/BF02568000zbMath0884.11025MaRDI QIDQ1895713

Ernst-Ulrich Gekeler

Publication date: 29 August 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156060

zbMATH Keywords

function fieldsEisenstein seriesautomorphic formsDrinfeld modules

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Automorphic forms, one variable (11F12)

Related Items

Sturm-type bounds for modular forms over function fields ⋮ ON GENERATORS OF ARITHMETIC GROUPS OVER FUNCTION FIELDS ⋮ An explicit basis of modular symbols on function fields ⋮ Poincaré series of Drinfeld type ⋮ On class number relations and intersections over function fields ⋮ The rational torsion subgroups of Drinfeld modular Jacobians and Eisenstein pseudo-harmonic cochains ⋮ On the Structure and Slopes of Drinfeld Cusp Forms ⋮ On metaplectic forms over function fields ⋮ On the Eisenstein ideal over function fields ⋮ Drinfeld discriminant function and Fourier expansion of harmonic cochains ⋮ Higher Heegner points on elliptic curves over function fields. ⋮ On component groups of Jacobians of Drinfeld modular curves. ⋮ On the Atkin Ut-operator for Γ1(t)-invariant Drinfeld cusp forms ⋮ Teitelbaum's exceptional zero conjecture in the function field case ⋮ On the Atkin 𝑈_{𝑡}-operator for Γ₀(𝑡)-invariant Drinfeld cusp forms ⋮ Analogue of the degree conjecture over function fields ⋮ On the variation of Tate-Shafarevich groups of elliptic curves over hyperelliptic curves ⋮ On the degree of modular parametrizations over function fields.

Cites Work

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• Automorphe Formen über \({\mathbb{F}}_ q(T)\) mit kleinem Führer. (Automorphic forms over \({\mathbb{F}}_ q(T)\) with small conductor)
• A product expansion for the discriminant function of Drinfeld modules of rank two
• On the coefficients of Drinfeld modular forms
• Modular symbols for \(F_ q(T)\)
• Chevalley groups over function fields and automorphic forms
• Modular curves and the Eisenstein ideal
• Modular elements over function fields
• Analytical construction of Weil curves over function fields
• Halbeinfache Gruppenschemata über Dedekindringen
• Dirichlet series and automorphic forms
• The Poisson Kernel for Drinfeld Modular Curves
• Jacobians of Drinfeld modular curves.
• On the Analogue of the Modular Group in Characteristic p

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