Second order modular forms

DOI10.4064/aa103-3-2zbMath1020.11025OpenAlexW2030652490MaRDI QIDQ4548861

Cormac O'Sullivan, Nikolaos Diamantis, Gautam Chinta

Publication date: 27 August 2002

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa103-3-2

zbMATH Keywords

Eisenstein seriesHecke operatorsmodular symbolsecond-order modular formssecond-order cusp formssecond-order Maass forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (15)

Modular iterated integrals associated with cusp forms ⋮ Secord-order cusp forms and mixed mock modular forms ⋮ Arithmetic statistics of modular symbols ⋮ \(L\)-functions of second-order cusp forms ⋮ Invariants, cohomology, and automorphic forms of higher order ⋮ Converse theorems assuming a partial Euler product ⋮ Higher order invariants in the case of compact quotients ⋮ The classification of higher-order cusp forms ⋮ The dimensions of spaces of holomorphic second-order automorphic forms and their cohomology ⋮ Convolution Dirichlet Series and a Kronecker Limit Formula for Second-Order Eisenstein Series ⋮ Higher order group cohomology and the Eichler-Shimura map ⋮ Unipotent vector bundles and higher-order non-holomorphic Eisenstein series ⋮ Shimura's vector-valued modular forms, weight changing operators, and Laplacians ⋮ Noncommutative modular symbols and Eisenstein series ⋮ Vertex operator algebras with positive central charges whose dimensions of weight one spaces are 8 and 16

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