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PreprintCC BY 4.0arXiv

Approximating Pi (and other constants) by Radicals in the Footsteps of Rabbi Abraham Ibn Ezra and Guru RSJ Reddy

  • Doron Zeilberger
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Abstract

Inspired by the polymath Abraham Ibn Ezra (1089-1167) who approximated π by 20/9 times the square-root of 2, and contemporary scholar, RSJ Reddy, who gave (14-sqrt(2))/4, we point out that both of these approximations are optimal in some sense, and we generate many other ones that are even more optimal, albeit not as nice.

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Cite

BibTeXRIS
BibTeX
@misc{zeilberger2026approximating,
  title = {{Approximating Pi (and other constants) by Radicals in the Footsteps of Rabbi Abraham Ibn Ezra and Guru RSJ Reddy}},
  author = {Doron Zeilberger},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.25098},
  eprint = {2609.25098},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.25098},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Approximating Pi (and other constants) by Radicals in the Footsteps of Rabbi Abraham Ibn Ezra and Guru RSJ Reddy
AU  - Doron Zeilberger
PY  - 2026
DA  - 2026/09/19
PB  - arXiv
DO  - 10.48550/arxiv.2609.25098
UR  - https://arxiv.org/abs/2609.25098
AB  - Inspired by the polymath Abraham Ibn Ezra (1089-1167) who approximated π by 20/9 times the square-root of 2, and contemporary scholar, RSJ Reddy, who gave (14-sqrt(2))/4, we point out that both of these approximations are optimal in some sense, and we generate many other ones that are even more optimal, albeit not as nice.
ER  -