The dimensions of spaces of holomorphic second-order automorphic forms and their cohomology

DOI10.1090/S0002-9947-08-04755-7zbMath1158.11021arXivmath/0411135OpenAlexW2032820159MaRDI QIDQ3532538

Nikolaos Diamantis, Cormac O'Sullivan

Publication date: 28 October 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411135

zbMATH Keywords

Poincaré seriesmodular formsparabolic cohomologyEichler-Shimura map

Mathematics Subject Classification ID

Automorphic forms, one variable (11F12) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Cohomology of arithmetic groups (11F75)

Related Items

Eichler cohomology and zeros of polynomials associated to derivatives of \(L\)-functions ⋮ Secord-order cusp forms and mixed mock modular forms ⋮ Invariants, cohomology, and automorphic forms of higher order ⋮ Higher order invariants in the case of compact quotients ⋮ Holomorphic Automorphic Forms and Cohomology

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