# A note on Beukers' integral

@article{Hata1995ANO, title={A note on Beukers' integral}, author={Masayoshi Hata}, journal={Journal of The Australian Mathematical Society}, year={1995}, volume={58}, pages={143-153} }

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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