"Examples of mock modular forms"의 두 판 사이의 차이
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imported>Pythagoras0 잔글 (Pythagoras0 사용자가 Examples of mock theta functions 문서를 Examples of mock modular forms 문서로 옮겼습니다.) |
imported>Pythagoras0 |
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* [[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== | ||
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* [[asymptotic analysis of basic hypergeometric series]] | * [[asymptotic analysis of basic hypergeometric series]] | ||
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| + | ==expositions== | ||
| + | * Basil Gordon, Richard J. McIntosh [http://link.springer.com/chapter/10.1007%2F978-1-4614-0028-8_9 A Survey of Classical Mock Theta Functions] | ||
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==books== | ==books== | ||
2013년 3월 25일 (월) 11:15 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
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