Some explicit badly approximable pairs

Details Some explicit badly approximable pairs Some explicit badly approximable pairs

2002-11-08

arxiv.org/abs/math/0211143v1

Mathematics

Number Theory

2 figures

Scientific paper

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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