Generating spaces of modular forms with $η$-quotients

L. J. P. Kilford

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Generating spaces of modular forms with $η$-quotients

L. J. P. Kilford

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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 $Γ_0(N)$ as rational functions of $η$-products.

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BibTeX RIS

L. J. P. Kilford. 2007-01-17. Generating spaces of modular forms with $η$-quotients. https://arxiv.org/abs/math/0701478

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