Generating spaces of modular forms with $\eta$-quotients

L. J. P. Kilford

Generating spaces of modular forms with $\eta$-quotients

Number Theory 2007-05-23 v1

Authors: L. J. P. Kilford

Abstract

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.

Keywords

modular forms

Cite

@article{arxiv.math/0701478,
  title  = {Generating spaces of modular forms with $\eta$-quotients},
  author = {L. J. P. Kilford},
  journal= {arXiv preprint arXiv:math/0701478},
  year   = {2007}
}

Comments

9 pages

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