On ranks of partitions and congruences of special functions
This thesis focuses on the rank statistic of partition functions, congruences and relating identities of special functions such as Appell-Lerch sums and partition pairs. Most results in Chapter 2, 3, 4, 5 are reproduced from [58], [59], [25], [24], respectively. F. J. Dyson conjectured that the rank...
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Format: | Theses and Dissertations |
Language: | English |
Published: |
2014
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Online Access: | https://hdl.handle.net/10356/55294 |
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Institution: | Nanyang Technological University |
Language: | English |