Ramanujan differential relations
= Ramanujan differential relations
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= Ramanujan differential system
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{synonym}
For normalized <Eisenstein series> $E_2,E_4,E_6$ and $D=q\frac{d}{dq}$, the relations are $DE_2=(E_2^2-E_4)/12$, $DE_4=(E_2E_4-E_6)/3$, and $DE_6=(E_2E_6-E_4^2)/2$. They turn derivatives of these series into polynomial expressions in the same series.