Difference between revisions of "Klein invariant J"

From specialfunctionswiki
Jump to: navigation, search
Line 1: Line 1:
[[File:kleinj.png]]
+
[[File:kleinj.png|700px]]
  
  
 
The Klein j-invariant $j(\tau)$ is ''the'' [[modular function]] which encodes arithmetic information about the [[singular moduli]] of [[imaginary quadratic fields]].
 
The Klein j-invariant $j(\tau)$ is ''the'' [[modular function]] which encodes arithmetic information about the [[singular moduli]] of [[imaginary quadratic fields]].
 
It is invariant under the [[full modular group]] $\mathbf{SL}(2,\mathbb{Z})$
 
It is invariant under the [[full modular group]] $\mathbf{SL}(2,\mathbb{Z})$

Revision as of 15:43, 9 October 2014

Kleinj.png


The Klein j-invariant $j(\tau)$ is the modular function which encodes arithmetic information about the singular moduli of imaginary quadratic fields. It is invariant under the full modular group $\mathbf{SL}(2,\mathbb{Z})$