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A method to reduce the Lehmer measure in a multi-term Machin-like formula for $\pi$

General Mathematics 2022-10-21 v3

Abstract

Previously we have proposed a new method of transforming quotients into integer reciprocals in the Machin-like formulas for π\pi. As a further development, here we show how to generate a multi-term Machin-like formula for π\pi with a reduced Lehmer measure. The Mathematica codes validating these results are presented.

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Cite

@article{arxiv.2202.13787,
  title  = {A method to reduce the Lehmer measure in a multi-term Machin-like formula for $\pi$},
  author = {Sanjar M. Abrarov and Rehan Siddiqui and Rajinder K. Jagpal and Brendan M. Quine},
  journal= {arXiv preprint arXiv:2202.13787},
  year   = {2022}
}

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23 pages