Siegel identity

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Short description: One of two formulae that are used in the resolution of Diophantine equations

In mathematics, Siegel's identity refers to one of two formulae that are used in the resolution of Diophantine equations.

Statement

The first formula is

x3x1x2x1+x2x3x2x1=1.

The second is

x3x1x2x1tx2tx3+x2x3x2x1tx1tx3=1.

Application

The identities are used in translating Diophantine problems connected with integral points on hyperelliptic curves into S-unit equations.

See also

  • Siegel formula

References