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* mock theta function is essentially a holomorphic part of [[mock modular forms|Mock modular forms]] of weight 1/2 | * mock theta function is essentially a holomorphic part of [[mock modular forms|Mock modular forms]] of weight 1/2 | ||
* Ramanujan found 22 examples | * Ramanujan found 22 examples | ||
2013년 3월 17일 (일) 16:42 판
introduction
- mock theta function is essentially a holomorphic part of Mock modular forms of weight 1/2
- Ramanujan found 22 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
books
- Ramanujan's Lost Notebook: Part I
- Ramanujan's Lost Notebook: Part II