Generating spaces of modular forms with $η$-quotients

Details Generating spaces of modular forms with $η$-quotients Generating spaces of modular forms with $η$-quotients

2007-01-17

arxiv.org/abs/math/0701478v1

Mathematics

Number Theory

9 pages

Scientific paper

In this note we consider a question of Ono, concerning which spaces of
classical modular forms can be generated by sums of $\eta$-quotients. We give
some new examples of spaces of modular forms which can be generated as sums of
$\eta$-quotients, and show that we can write all modular forms of level
$\Gamma_0(N)$ as rational functions of $\eta$-products.

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