The Lie theory of certain modular form and arithmetic identities

DOI10.1007/s11139-012-9415-5zbMath1281.11038OpenAlexW2116859458MaRDI QIDQ360443

Amine M. El Gradechi

Publication date: 27 August 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-012-9415-5

zbMATH Keywords

modular formdivisor functionVerma moduleLeibniz ruleClebsch-Gordan coefficientRankin-Cohen bracketsarithmetic identityMaass-Shimura operatorRamanujan's \(\tau \)-function

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (2)

Lowest weight modules of \(\mathrm{Sp}_4 (\mathbb{R})\) and nearly holomorphic Siegel modular forms ⋮ Meromorphic quasi-modular forms and their \(L\)-functions

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