A note on Beukers' integral

  title={A note on Beukers' integral},
  author={Masayoshi Hata},
  journal={Journal of The Australian Mathematical Society},
  • M. Hata
  • Published 1995
  • Mathematics
  • Journal of The Australian Mathematical Society
The aim of this note is to give a sharp lower bound for rational approximations to ζ(2) = π 2 /6 by using a specific Beukers' integral. Indeed, we will show that π 2 has an irrationality measure less than 6.3489, which improves the earlier result 7.325 announced by D. V. Chudnovsky and G. V. Chudnovsky. 
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Higher transcendental functions, volume 1 (McGraw-Hill, New York, 1953)
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