Bhattacharya, Soumya: Factorization of holomorphic eta quotients. - Bonn, 2014. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-37110
@phdthesis{handle:20.500.11811/6149,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-37110,
author = {{Soumya Bhattacharya}},
title = {Factorization of holomorphic eta quotients},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2014,
month = dec,

note = {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.},
url = {http://hdl.handle.net/20.500.11811/6149}
}

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