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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Bibliographic Details
Main Author: Mao, Renrong
Other Authors: Chan Song Heng
Format: Theses and Dissertations
Language:English
Published: 2014
Subjects:
Online Access:https://hdl.handle.net/10356/55294
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Institution: Nanyang Technological University
Language: English

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