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arxiv: 1701.00278 · v1 · pith:HEIPVHCZnew · submitted 2017-01-01 · 🧮 math.NT

Infinite Families of Simple Holomorphic Eta Quotients

classification 🧮 math.NT
keywords constructionssimpleaddressarbitrarilyconsequenceconstructingcubefreefamilies
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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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