On the ranks of partitions modulo certain integers

• Main Author: Hong, Nankun
• Other Authors: Chan Song Heng
• Format: Thesis-Doctor of Philosophy
• Language: English
• Published: Nanyang Technological University 2020
• Subjects: Science::Mathematics::Number theory
• Online Access: https://hdl.handle.net/10356/137118
• Institution: Nanyang Technological University

This thesis focuses on the rank of partition functions, identities related to generating functions of ranks modulo different integers and Ramanujan's convolution sum. Most results in Chapters 2 and 4 are reproduced from [14] and [10], respectively. Ramanujan had three famous congruences for...