English

Some explicit badly approximable pairs

Number Theory 2007-05-23 v1

Abstract

I consider the Diophantine approximation problem of sup-norm simultaneous rational approximation with common denominator of a pair of irrational numbers, and compute explicitly some pairs with large approximation constant. One of these pairs is the most badly approximable pair yet computed.

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Cite

@article{arxiv.math/0211143,
  title  = {Some explicit badly approximable pairs},
  author = {Keith Briggs},
  journal= {arXiv preprint arXiv:math/0211143},
  year   = {2007}
}

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