Mathematical Notes

, Volume 66, Issue 4, pp 431–435 | Cite as

On an identity of Hilbert

  • Yu. V. Nesterenko


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.

Key words

Waring problem Hilbert identity continued fraction hypergeometric series 


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Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • Yu. V. Nesterenko
    • 1
  1. 1.M. V. Lomonosov Moscow State UniversityMoscowUSSR

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