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Multiplicative zero-one laws and metric number theory
Zero-one laws metric Diophantine approximation
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2011/1/18
We develop the classical theory of Diophantine approximation without assuming monotonicity or convexity. A complete ‘multiplicative’ zero-one law is established akin to the ‘simultaneous’ zero-one law...
Best p-Simultaneous Approximation in Some Metric Space
Simultaneous Approximation
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2010/2/25
Let X be a Banach space, (I,m) be a finite measure space, and F be an increasing subadditive continuous function on [0,+\infty) with F(0)=0. In the present paper, we discuss the best p-simultaneous ap...