Hecke-Rogers type series representation on mock theta functions

• Main Author: Ker, Linus Jian Ting
• Other Authors: Chan Song Heng
• Format: Final Year Project
• Language: English
• Published: Nanyang Technological University 2020
• Subjects: Science::Mathematics
• Online Access: https://hdl.handle.net/10356/139415
• Institution: Nanyang Technological University

This thesis consists of a collection of results related to Ramanujan’s mock θ-functions, with our primary focus on Hecke-Rogers type series representation on these functions. We provide transformation formulas that lead us to a different representation of the third order mock θ- functions. In a sepa...