Factorization of holomorphic eta quotients

Bhattacharya, Soumya

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Factorization of holomorphic eta quotients

Bhattacharya, S. (2014). Factorization of holomorphic eta quotients. PhD Thesis, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-1899-5 Version Permalink: https://hdl.handle.net/21.11116/0000-0009-0161-8

Genre: Thesis

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https://hdl.handle.net/20.500.11811/6149 (Any fulltext) Open Access status unknown

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Bhattacharya, Soumya¹, Author

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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201

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Abstract: We conjecture the occurrence of a certain type of factor of a holomorphic eta quotient whenever it is reducible and we prove this conjecture for all prime power levels. In particular, this also implies that rescaling and Atkin-Lehner involutions of irreducible holomorphic eta quotients of prime power levels are irreducible. We also show that there are finitely many simple holomorphic eta quotients of a given level and provide a bound on the weights of such eta quotients of a given level. Finally, we construct an infinite family of irreducible holomorphic eta quotients of prime power levels.

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Language(s): eng - English

Dates: Accepted: 2014

Publication Status: Accepted / In Press

Pages: 144 p.

Publishing info: Bonn : Rheinische Friedrich-Wilhelms-Universität Bonn

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Identifiers: URN: https://nbn-resolving.org/urn:nbn:de:hbz:5n-37110

Degree: PhD

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