Partition functions related to identities of euler type

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dc.contributor.authorMugwangwavari, Beaullah
dc.date.accessioned2020-09-09T11:58:58Z
dc.date.available2020-09-09T11:58:58Z
dc.date.issued2019
dc.descriptionA Dissertation Presented to the Faculty of Science, University of the Witwatersrand, Johannesburg in fulfilment of the requirements for the degree of Master of Science in Mathematics, October, 2019en_ZA
dc.description.abstractIn this research, we shall explore partition functions related to identities of Euler type, mainly focusing on identities due to P. A. MacMahon and M. V. Subbarao. We will give a new bijection for one of the partition theorems due to MacMahon and provide a generalisation of a partition identity due to Subbarao. We will further deduce parity formulas for various related partition functions. Our approach is via generating functions and bijective mappings.en_ZA
dc.description.librarianXN2020en_ZA
dc.facultyFaculty of Scienceen_ZA
dc.format.extentOnline resource (80 leaves)
dc.identifier.citationMugwangwavari, Beaullah, (2019) Partition functions related to identities of Euler type, University of the Witwatersrand, Johannesburg, https://hdl.handle.net/10539/29575
dc.identifier.urihttps://hdl.handle.net/10539/29575
dc.language.isoenen_ZA
dc.schoolSchool of Mathematicsen_ZA
dc.subject.lcshPartitions (Mathematics)
dc.subject.lcshAlgebraic number theory
dc.subject.lcshq-series
dc.titlePartition functions related to identities of euler typeen_ZA
dc.typeThesisen_ZA
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