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On an identity of Hilbert
Authors:Yu. V. Nesterenko
Affiliation:(1) M. V. Lomonosov Moscow State University, Moscow, USSR
Abstract:
A simple proof of the polynomial identity used by Hilbert in the solution of the Waring problem is given. The proof is based on the continued fraction expansion of a certain formal hypergeometric series. Translated fromMatematischeskie Zametki, Vol. 66, No. 4, pp. 527–532, October, 1999.
Keywords:Waring problem  Hilbert identity  continued fraction  hypergeometric series
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