On monotonicity of ranks of partitions, positivity of truncated series, and transformation formulas for theta series

We discuss three different topics in combinatorial number theory. In the first topic, we form several truncated series from the quintuple product identity and its specialised versions, then prove that the coeffcients of these series exhibit uniformity in sign. In other words, all the coefficients ar...

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Bibliographic Details
Main Author: Ho, Thi Phuong Nhi
Other Authors: Chan Song Heng
Format: Theses and Dissertations
Language:English
Published: 2017
Subjects:
Online Access:http://hdl.handle.net/10356/70658
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Institution: Nanyang Technological University
Language: English