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2013년 7월 12일 (금) 13:30 판
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
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