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math.NT2008★ 36 cited
Classical metric Diophantine approximation revisited
Victor Beresnevich, Vasily Bernik, Maurice Dodson +1
The idea of using measure theoretic concepts to investigate the size of number theoretic sets, originating with E. Borel, has been used for nearly a century. It has led to the deve…
math.NT2002★ 4 cited
Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds
V. Beresnevich, V. Bernik, D. Kleinbock +1
The main objective of this paper is to prove a Khintchine type theorem for divergence for linear Diophantine approximation on non-degenerate manifolds, which completes earlier resu…