The Ramanujan behavior is typically explained by the fact that the imaginary quadratic field $\mathbb{Q}(\sqrt{-163})$ has class number one (together with an integrality property of the j-function)j-function - see Wikipedia). Since there are only finitely many such imaginary quadratic fields, you can't really expect to have infinitely many similar phenomena (at least admitting the same a similar explanation).
|
2 | link | ||
|
|
||||
|
|
1 |
|
||
|
The Ramanujan behavior is typically explained by the fact that the imaginary quadratic field $\mathbb{Q}(\sqrt{-163})$ has class number one (together with an integrality property of the j-function). Since there are only finitely many such imaginary quadratic fields, you can't really expect to have infinitely many similar phenomena (at least admitting the same explanation). |
||||
