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On the irrationality measure of certain numbers

Number Theory 2015-01-28 v1

Abstract

The paper presents upper estimates for the irrationality measure and the non-quadraticity measure for the numbers αk=2k+1ln2k+112k+1+1, kN.\alpha_k=\sqrt{2k+1}\ln\frac{\sqrt{2k+1}-1}{\sqrt{2k+1}+1}, \ k\in\mathbb N.

Keywords

Cite

@article{arxiv.1501.06752,
  title  = {On the irrationality measure of certain numbers},
  author = {Alexandr Polyanskii},
  journal= {arXiv preprint arXiv:1501.06752},
  year   = {2015}
}

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8 pages