Infinite Families of Simple Holomorphic Eta Quotients

Soumya Bhattacharya

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arXiv · 1701.00278

Infinite Families of Simple Holomorphic Eta Quotients

Soumya Bhattacharya

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Abstract

We address the problem of constructing a simple holomor- phic eta quotient of a given level N . Such constructions are known for all cubefree N . Here, we provide such constructions for arbitrarily large prime power levels. As a consequence, we obtain an irreducibility

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Soumya Bhattacharya. 2017-01-01. Infinite Families of Simple Holomorphic Eta Quotients. https://arxiv.org/abs/1701.00278

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