Examples of mock modular forms

introduction

• mock theta function is essentially a holomorphic part of Mock modular forms of weight 1/2
• Ramanujan found 17 examples

 

mock theta conjectures

• conjecture by Andrews-Dragonette
• Hickerson1988 http://worldcat.org/issn/0020-9910
• Rank of partition and mock theta conjecture

examples

• classify which examples are of which use

mock theta functions

• 3rd order mock theta functions
• 5th order mock theta functions
• 7th order mock theta functions
• 8th order Mock theta functions
• 10th order mock theta functions

other examples

• Appell-Lerch sums
• characters of Kac-Wakimoto modules

 

related items

• mock modular forms
• Asymptotic analysis of modular forms

expositions

• Basil Gordon, Richard J. McIntosh A Survey of Classical Mock Theta Functions 

books

• Ramanujan's Lost Notebook: Part I
• Ramanujan's Lost Notebook: Part II

encyclopedia

• http://en.wikipedia.org/wiki/Mock_modular_form