摘要

We refine a result of Languasco and Zaccagnini (J Number Theory 132:3016-3028, 2012) on Diophantine approximation with two primes and powers of two. We improve the upper bound on the least value which ensures that for all , there exists an approximation to any real number by values of the form , where , are primes; , , are positive integers; belongs to a certain subset of negative irrational numbers and lambda(1)/mu(1), lambda(2)/mu(2) is an element of Q.

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