The k-dimensional Duffin and Schaeffer conjecture
Journal de Théorie des Nombres de Bordeaux, Volume 1 (1989) no. 1, pp. 81-88.

We show that the Duffin and Schaeffer conjecture holds in all dimensions greater than one.

Nous montrons que la conjecture de Duffin et Schaeffer est vraie en toute dimension supérieure à 1.

DOI: 10.5802/jtnb.6
Keywords: diophantine approximation, k-dimensional, Lebesgues measure, Duffin and Schaeffer conjecture 
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A. D. Pollington; R. C. Vaughan. The $k$-dimensional Duffin and Schaeffer conjecture. Journal de Théorie des Nombres de Bordeaux, Volume 1 (1989) no. 1, pp. 81-88. doi : 10.5802/jtnb.6. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.6/

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