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  "body": "\n## Summary\n\nRiemann's differential equation is the general second-order linear [[Fuchsian equation|ZBVH2YE50B]] with exactly three [[regular singular points|H96HXG6CA0]] on the Riemann sphere.\nIt is determined by the positions of the three points and the two exponents at each.\nThe six exponents must add up to $1$.\nThe [[hypergeometric differential equation|W8VE25R5A7]] is the case where the points are $0$, $1$ and $\\infty$.\nEvery Riemann equation reduces to it by a [[Möbius transformation|0SG74WBFA2]] and a power factor.\n\n## Explanations\n\n### L1 human\n\nA second-order linear equation whose solutions behave like powers near three special points, and nowhere else misbehave, is completely fixed by those three points and the six powers.\nRiemann wrote down this equation explicitly.\nMoving the three points to $0$, $1$, $\\infty$ by a Möbius map, and multiplying the unknown by suitable powers, turns it into the hypergeometric equation.\nSo the theory of the hypergeometric function covers every such equation.\n",
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