The k-dimensional Duffin and Schaeffer conjecture
Journal de théorie des nombres de Bordeaux, Tome 1 (1989) no. 1, pp. 81-88.

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

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

Mots clés : 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, Tome 1 (1989) no. 1, pp. 81-88. https://jtnb.centre-mersenne.org/item/JTNB_1989__1_1_81_0/

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