no. 1
The k-dimensional Duffin and Schaeffer conjecture
Séminaire de théorie des nombres de Bordeaux, Série 2, 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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     title = {The $k$-dimensional {Duffin} and {Schaeffer} conjecture},
     journal = {S\'eminaire de th\'eorie des nombres de Bordeaux},
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     volume = {Ser. 2, 1},
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Pollington, A. D.; Vaughan, R. C. The $k$-dimensional Duffin and Schaeffer conjecture. Séminaire de théorie des nombres de Bordeaux, Série 2, Tome 1 (1989) no. 1, pp. 81-88. http://www.numdam.org/item/JTNB_1989__1_1_81_0/

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