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imported>Pythagoras0 |
imported>Pythagoras0 |
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| − | ==mock theta functions== | + | ==mock theta functions== |
* [[3rd order mock theta functions]] | * [[3rd order mock theta functions]] | ||
* [[5th order mock theta functions]] | * [[5th order mock theta functions]] | ||
| 23번째 줄: | 23번째 줄: | ||
* [[8th order Mock theta functions]] | * [[8th order Mock theta functions]] | ||
* [[10th order mock theta functions]] | * [[10th order mock theta functions]] | ||
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==other examples== | ==other examples== | ||
2013년 3월 17일 (일) 16:43 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