"Examples of mock modular forms"의 두 판 사이의 차이
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imported>Pythagoras0 |
Pythagoras0 (토론 | 기여) |
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==mock theta conjectures== | ==mock theta conjectures== | ||
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* characters of [[Kac-Wakimoto modules]] | * characters of [[Kac-Wakimoto modules]] | ||
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==related items== | ==related items== | ||
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==expositions== | ==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] | + | * 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] |
2020년 12월 28일 (월) 05:25 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