Generating spaces of modular forms with $η$-quotients

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122140In this note we consider a question of Ono, concerning which spaces of classical modular forms can be generated by sums of $η$-quotients. We give some new examples of spaces of modular forms which can be generated as sums of $η$-quotients, and show that we can write all modular forms of level $Γ_0(N)$ as rational functions of $η$-products.9 pagesNumber Theory11F11; 11F20Generating spaces of modular forms with $η$-quotientstext