Mathematical Notes

, Volume 86, Issue 5, pp 693–703

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

Article

DOI: 10.1134/S0001434609110121

Cite this article as:
Pupyrev, Y.A. Math Notes (2009) 86: 693. doi:10.1134/S0001434609110121
  • 53 Downloads

Abstract

We obtain estimates of the form |ξαn| > Ck 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 

Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia