Keith Briggs
Abstract
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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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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.
Key concepts: Irrational number, Diophantine approximation, Mathematics, Norm (philosophy), Constant (computer programming), Rational number, Combinatorics, Discrete mathematics