Finiteness of simple holomorphic eta quotients of a given weight

Soumya Bhattacharya

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arXiv · 1602.02825

Finiteness of simple holomorphic eta quotients of a given weight

Soumya Bhattacharya

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Abstract

We provide a simplified proof of Zagier's conjecture / Mersmann's theorem which states that of any particular weight, there are only finitely many holomorphic eta quotients, none of which is an integral rescaling of another eta quotient or a product of two holomorphic eta quotients other than 1 and itself.

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Soumya Bhattacharya. 2016-02-09. Finiteness of simple holomorphic eta quotients of a given weight. https://arxiv.org/abs/1602.02825

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