Factorization of holomorphic eta quotients
Factorization of holomorphic eta quotients
dc.contributor.advisor | Zagier, Don Bernard | |
dc.contributor.author | Bhattacharya, Soumya | |
dc.date.accessioned | 2020-04-20T01:07:12Z | |
dc.date.available | 2020-04-20T01:07:12Z | |
dc.date.issued | 12.12.2014 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/6149 | |
dc.description.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. | |
dc.language.iso | eng | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | eta quotients | |
dc.subject | Simple holomorphic eta quotients | |
dc.subject | irreducibility | |
dc.subject | Reducibility Conjecture | |
dc.subject | factorization | |
dc.subject.ddc | 510 Mathematik | |
dc.title | Factorization of holomorphic eta quotients | |
dc.type | Dissertation oder Habilitation | |
dc.publisher.name | Universitäts- und Landesbibliothek Bonn | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.identifier.urn | https://nbn-resolving.org/urn:nbn:de:hbz:5n-37110 | |
ulbbn.pubtype | Erstveröffentlichung | |
ulbbnediss.affiliation.name | Rheinische Friedrich-Wilhelms-Universität Bonn | |
ulbbnediss.affiliation.location | Bonn | |
ulbbnediss.thesis.level | Dissertation | |
ulbbnediss.dissID | 3711 | |
ulbbnediss.date.accepted | 10.12.2014 | |
ulbbnediss.institute | Mathematisch-Naturwissenschaftliche Fakultät : Fachgruppe Mathematik / Mathematisches Institut | |
ulbbnediss.fakultaet | Mathematisch-Naturwissenschaftliche Fakultät | |
dc.contributor.coReferee | Müller, Werner |
Dateien zu dieser Ressource
Das Dokument erscheint in:
-
E-Dissertationen (4071)