no. 1
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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     author = {Pollington, A. D. and Vaughan, R. C.},
     title = {The $k$-dimensional {Duffin} and {Schaeffer} conjecture},
     journal = {Journal de Th\'eorie des Nombres de Bordeaux},
     pages = {81--88},
     publisher = {Universit\'e Bordeaux I},
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     year = {1989},
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     url = {http://www.numdam.org/item/JTNB_1989__1_1_81_0/}
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Pollington, A. D.; Vaughan, R. C. The $k$-dimensional Duffin and Schaeffer conjecture. Journal de Théorie des Nombres de Bordeaux, Tome 1 (1989) no. 1, pp. 81-88. http://www.numdam.org/item/JTNB_1989__1_1_81_0/

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