A note on Beukers' integral

Masayoshi Hata
1995 Journal of the Australian Mathematical Society  
The aim of this note is to give a sharp lower bound for rational approximations to f (2) = TT 2 /6 by using a specific Beukers' integral. Indeed, we will show that n 1 has an irrationality measure less than 6.3489, which improves the earlier result 7.325 announced by D. V. Chudnovsky and G. V. Chudnovsky.
doi:10.1017/s1446788700038192 fatcat:xydsb6rffrc45oce6muuj37z5e