The classification of higher-order cusp forms

DOI10.1515/CRELLE.2008.067zbMath1230.11049arXivmath/0610007MaRDI QIDQ3524841

David Sim, Nikolaos Diamantis

Publication date: 15 September 2008

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610007

zbMATH Keywords

dimension formulasexplicit basesspaces of holomorphic cusp forms of even positive weights and all orders

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (5)

Arithmetic statistics of modular symbols ⋮ Invariants, cohomology, and automorphic forms of higher order ⋮ Higher order invariants in the case of compact quotients ⋮ Shimura's vector-valued modular forms, weight changing operators, and Laplacians ⋮ Noncommutative modular symbols and Eisenstein series

Cites Work

• Lie elements and an algebra associated with shuffles
• \(L\)-functions of second-order cusp forms
• Crossing probabilities and modular forms
• Estimating additive character sums for Fuchsian groups
• Modular symbols have a normal distribution
• Iterated integrals and higher order automorphic forms
• Second order modular forms
• Iterated integrals of modular forms and noncommutative modular symbols

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