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 .
@article{JTNB_1989__1_1_81_0, author = {A. D. Pollington and R. C. Vaughan}, 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}, volume = {1}, number = {1}, year = {1989}, zbl = {0714.11048}, mrnumber = {1050267}, language = {en}, url = {https://jtnb.centre-mersenne.org/item/JTNB_1989__1_1_81_0/} }
TY - JOUR AU - A. D. Pollington AU - R. C. Vaughan TI - The $k$-dimensional Duffin and Schaeffer conjecture JO - Journal de théorie des nombres de Bordeaux PY - 1989 SP - 81 EP - 88 VL - 1 IS - 1 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/item/JTNB_1989__1_1_81_0/ LA - en ID - JTNB_1989__1_1_81_0 ER -
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. https://jtnb.centre-mersenne.org/item/JTNB_1989__1_1_81_0/
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