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arXiv · 1303.2906

On the Lacunarity of some eta-products

Yudong Wang
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Abstract

The lacunarity is an interesting property of a formal series. We say a series is lacunary if "almost all" of its coefficients are zero. In this article we considered about the lacunarity of some eta-products like \eta(z)^2\eta(bz)^2, and proved that they are lacunary if and only if b is 1,2,3,4 or 16. Then We write them as linear combinations of some CM forms.

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Yudong Wang. 2013-03-12. On the Lacunarity of some eta-products. https://arxiv.org/abs/1303.2906

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