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Irrationality Measure Of $\pi^2$

General Mathematics 2022-01-26 v2

Abstract

The note provides a simple proof of the irrationality measure μ(π2)=2\mu(\pi^2)=2 of the real number π2\pi^2. The current estimate gives the upper bound μ(π2)5.0954\mu(\pi^2)\leq 5.0954 \ldots.

Keywords

Cite

@article{arxiv.2201.00651,
  title  = {Irrationality Measure Of $\pi^2$},
  author = {N. A. Carella},
  journal= {arXiv preprint arXiv:2201.00651},
  year   = {2022}
}

Comments

Five Pages. Keywords: Irrational number; Irrationality measure; Pi; Pi Square