Difference between revisions of "Klein invariant J"

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=Videos=
 
=Videos=
 
[https://www.youtube.com/watch?v=kvQ7e2AiE2g Klein's j-Invariant j(τ) under τ→-1/τ in SL(2,R)]
 
[https://www.youtube.com/watch?v=kvQ7e2AiE2g Klein's j-Invariant j(τ) under τ→-1/τ in SL(2,R)]
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[[Category:SpecialFunction]]

Latest revision as of 18:28, 24 May 2016

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 $\mathbf{SL}(2,\mathbb{Z})$.

Videos

Klein's j-Invariant j(τ) under τ→-1/τ in SL(2,R)