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

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

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...