Finite modular forms

DOI10.1006/ffta.2000.0314zbMath1001.11018OpenAlexW2005642570MaRDI QIDQ1604411

Ernst-Ulrich Gekeler

Publication date: 4 July 2002

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.2000.0314

zbMATH Keywords

Eisenstein seriesmodular formsEichler-Shimura isomorphismSteinberg representation

Mathematics Subject Classification ID

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

Related Items (13)

From the Carlitz exponential to Drinfeld modular forms ⋮ Generalized Dedekind sums and the transformation formula in finite fields ⋮ Dedekind sums with a parameter in finite fields ⋮ Finite Dedekind Sums ⋮ Higher dimensional Dedekind sums in finite fields ⋮ Multiple Dedekind-Rademacher sums in finite fields ⋮ Linear relations and congruences for the coefficients of Drinfeld modular forms ⋮ ZERO DISTRIBUTION AND DECAY AT INFINITY OF DRINFELD MODULAR COEFFICIENT FORMS ⋮ Lattices in finite fields ⋮ Towers of \(\mathrm{GL}(r)\)-type of modular curves ⋮ On Drinfeld modular forms of higher rank. III: The analogue of the \(k/12\)-formula ⋮ A Hecke-equivariant decomposition of spaces of Drinfeld cusp forms via representation theory, and an investigation of its subfactors ⋮ On Drinfeld modular forms of higher rank II.

Cites Work

• On the coefficients of Drinfeld modular forms
• Lectures on Chevalley Groups
• A primer on the Dickson invariants
• The Multiplicity of the Steinberg Representation of GL n F q in the Symmetric Algebra
• The algebraist’s upper half-plane
• The Poisson Kernel for Drinfeld Modular Curves
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