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欧拉四次恒等式[Euler Four-Square Identity]

   ∑〖数学〗2005-6-4 13:37
The amazing polynomial identity



communicated by Euler in a letter to Goldbach on April 15, 1750 (incorrectly given as April 15, 1705--before Euler was born--in Conway and Guy 1996, p. 232). The identity also follows from the fact that the norm of the product of two quaternions is the product of the norms (Conway and Guy 1996).
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