The Eichler Cohomology Groups and Automorphic Forms

DOI10.2307/1993353zbMath0142.05302OpenAlexW4233105103MaRDI QIDQ5517005

Robert C. Gunning

Publication date: 1961

Full work available at URL: https://doi.org/10.2307/1993353

zbMATH Keywords

modular functions, automorphic functions, almost periodic functions

Related Items

The dimension of spaces of vector-valued modular forms of integer weight ⋮ Remarks on the Eichler cohomology of Kleinian groups ⋮ Poincaré series and Eichler integrals ⋮ Cohomology of split group extensions ⋮ Apéry-like numbers for non-commutative harmonic oscillators and automorphic integrals ⋮ Some new results on the Eichler cohomology of automorphic forms ⋮ The dimensions of spaces of holomorphic second-order automorphic forms and their cohomology ⋮ Finite-dimensional period spaces for the spaces of cusp forms ⋮ Differential Operators Preserving Relations of Automorphy ⋮ Holomorphic Automorphic Forms and Cohomology ⋮ Cohomological relation between Jacobi forms and skew-holomorphic Jacobi forms ⋮ Eichler cohomology theorem for automorphic forms of small weights ⋮ Pairs of eta-quotients with dual weights and their applications ⋮ Hypergeometric series, modular linear differential equations and vector-valued modular forms ⋮ Eichler cohomology in general weights using spectral theory ⋮ On cohomology of Kleinian groups. III: Singular Eichler integrals ⋮ Cohomology of vector-valued automorphic forms ⋮ Period functions of half-integral weight modular forms

Cites Work

• Un théorème de dualité
• Eine Verallgemeinerung der Abelschen Integrale
• Factors of automorphy and other formal cohomology groups for Lie groups
• Über eine Metrisierung der automorphen Formen und die Theorie der Poincaréschen Reihen
• Cohomology theory in abstract groups. I
• Invarianten linearer Differentialgleichungen
• The Decomposition Theorem for V-Manifolds
• Unnamed Item
• Unnamed Item

This page was built for publication: The Eichler Cohomology Groups and Automorphic Forms