"Andrews-Garvan crank modular form"의 두 판 사이의 차이
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imported>Pythagoras0 |
imported>Pythagoras0 |
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| + | ==introduction== | ||
| + | $$ | ||
| + | C(w;q)=\frac{(q)_{\infty}}{(wq;q)_{\infty}(w^{-1}q;q)_{\infty}} | ||
| + | $$ | ||
| + | * specialization $C(-1;q)=b(q)$ where | ||
| + | $$b(q)=q^{1/24}\frac{\eta(\tau)}{\eta(2\tau)}\theta(-q)$$ | ||
| + | * see [[3rd order mock theta functions]] | ||
| + | |||
| + | ==related items== | ||
| + | * [[Dyson's rank generating function]] | ||
| + | * [[Quantum modular forms]] | ||
| + | |||
| + | |||
| + | ==computational resources== | ||
| + | * https://docs.google.com/file/d/0B8XXo8Tve1cxbG1sMTgwX1A4MEk/edit | ||
| + | |||
| + | |||
| + | [[분류:Mock modular forms]] | ||
| + | [[분류:migrate]] | ||
2020년 11월 13일 (금) 17:22 판
introduction
$$ C(w;q)=\frac{(q)_{\infty}}{(wq;q)_{\infty}(w^{-1}q;q)_{\infty}} $$
- specialization $C(-1;q)=b(q)$ where
$$b(q)=q^{1/24}\frac{\eta(\tau)}{\eta(2\tau)}\theta(-q)$$