Arima Yoriyuki (有馬 頼徸, December 31, 1714 – December 16, 1783) was a Japanese mathematician of the Edo period. He was the lord of Kurume Domain.

Arima Yoriyuki

He approximated the value of and its square, . In 1766, he found the following rational approximation of , correct to 29 digits:[1][2]

References

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  1. ^ "Collection of approximations for  ". Retrieved April 4, 2008.
  2. ^ Hardy, G. H.; E. M. Wright (1978). An Introduction to the Theory of Numbers. Oxford Science Publications.

Further reading

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  • Döll, Steffen; Hinz, Andreas M. (2018). "Kyū-renkan – the Arima sequence". In Ogawa, T.; Morimoto, M. (eds.). Mathematics of Takebe Katahiro and History of Mathematics in East Asia. Advanced Studies in Pure Mathematics. Vol. 79. Tokyo: Mathematical Society of Japan. pp. 321–335.