Some explicit badly approximable pairs |
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Authors: | Keith Briggs |
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Affiliation: | BT Exact, Adastral Park, Polaris 134, Suffolk IP5 3RE, UK |
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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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