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Mathematical Notes

, Volume 86, Issue 5–6, pp 693–703 | Cite as

Rational approximations of the number \( \sqrt[3]{3} \)

  • Yu. A. Pupyrev
Article
  • 53 Downloads

Abstract

We obtain estimates of the form |ξα n | > C k for all kK for the values ξ = 31/3 and α = 2, where K is an effective constant and | · | denotes the distance to the nearest integer.

Key words

Padé approximant Pfaff-Saalschütz summation formula Laplace method effective estimate Laplace method gamma function 

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Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia

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