Generating spaces of modular forms with η-quotients

2007/01/17 by L. J. P. Kilford, Kilford, L. J. P.
Mathematics · #11F11 #11F20 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F11 #msc:11F20

paper · pdf · doi:10.48550/arxiv.math/0701478

9 pages

arxiv created 2007/01/17 · arxiv updated 2009/12/01

Abstract

In 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 Γ₀(N) as rational functions of η-products.

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