Partition functions related to identities of euler type
No Thumbnail Available
Date
2019
Authors
Mugwangwavari, Beaullah
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
In 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.
Description
A 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, 2019
Keywords
Citation
Mugwangwavari, Beaullah, (2019) Partition functions related to identities of Euler type, University of the Witwatersrand, Johannesburg, https://hdl.handle.net/10539/29575