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The classification of higher-order cusp forms (2008)
Journal Article
Diamantis, N., & Sim, D. (2008). The classification of higher-order cusp forms. Journal für die reine und angewandte Mathematik, 2008(622), 121-153. https://doi.org/10.1515/CRELLE.2008.067

Explicit bases for the spaces of holomorphic cusp forms of all even positive weights and all orders are constructed. The dimensions of these spaces are computed.