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Factorization of holomorphic eta quotients

dc.contributor.advisorZagier, Don Bernard
dc.contributor.authorBhattacharya, Soumya
dc.date.accessioned2020-04-20T01:07:12Z
dc.date.available2020-04-20T01:07:12Z
dc.date.issued12.12.2014
dc.identifier.urihttp://hdl.handle.net/20.500.11811/6149
dc.description.abstractWe 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.
dc.language.isoeng
dc.rightsIn Copyright
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjecteta quotients
dc.subjectSimple holomorphic eta quotients
dc.subjectirreducibility
dc.subjectReducibility Conjecture
dc.subjectfactorization
dc.subject.ddc510 Mathematik
dc.titleFactorization of holomorphic eta quotients
dc.typeDissertation oder Habilitation
dc.publisher.nameUniversitäts- und Landesbibliothek Bonn
dc.publisher.locationBonn
dc.rights.accessRightsopenAccess
dc.identifier.urnhttps://nbn-resolving.org/urn:nbn:de:hbz:5n-37110
ulbbn.pubtypeErstveröffentlichung
ulbbnediss.affiliation.nameRheinische Friedrich-Wilhelms-Universität Bonn
ulbbnediss.affiliation.locationBonn
ulbbnediss.thesis.levelDissertation
ulbbnediss.dissID3711
ulbbnediss.date.accepted2014-12-10
ulbbnediss.instituteMathematisch-Naturwissenschaftliche Fakultät : Fachgruppe Mathematik / Mathematisches Institut
ulbbnediss.fakultaetMathematisch-Naturwissenschaftliche Fakultät
dc.contributor.coRefereeMüller, Werner


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