Duffin-Schaeffer theorem of diophantine approximation for complex numbers
Journées arithmétiques de Luminy 17-21 Juillet 1989, Astérisque, no. 198-199-200 (1991), pp. 259-263 
@incollection{AST_1991__198-199-200__259_0,
     author = {Nakada, Hitoshi and Wagner, Gerold},
     title = {Duffin-Schaeffer theorem of diophantine approximation for complex numbers},
     booktitle = {Journ\'ees arithm\'etiques de Luminy 17-21 Juillet 1989},
     editor = {Lachaud Gilles},
     series = {Ast\'erisque},
     pages = {259--263},
     year = {1991},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {198-199-200},
     mrnumber = {1144329},
     zbl = {0749.11034},
     language = {en},
     url = {https://www.numdam.org/item/AST_1991__198-199-200__259_0/}
}
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Nakada, Hitoshi; Wagner, Gerold. Duffin-Schaeffer theorem of diophantine approximation for complex numbers, dans Journées arithmétiques de Luminy 17-21 Juillet 1989, Astérisque, no. 198-199-200 (1991), pp. 259-263. https://www.numdam.org/item/AST_1991__198-199-200__259_0/

[1] Duffin, R. J. and A. C. Schaeffer, Khintchine's problem in metric diophantine approximation, Duke Math.J., 8 (1941), pp. 243-255. | MR | Zbl | DOI

[2] Gallagher, P. X., Approximation by reduced fractions, J. Math. Soc. Japan, 13 (1961), pp. 342-345. | MR | Zbl | DOI

[3] Nakada, H., On metrical theory of diophantine approximation over imaginary quadratic field, Acta Arith., 51 (1988), 393-403. | Zbl | EuDML | MR | DOI

[4] Pollington, A. D. and R. C. Vaughan, The k-dimensional Duffin and Schaeffer conjecture, Séminaire de Théorie des Nombres Bordeaux, ser.2, 1 (1989), 81-87. | MR | Zbl | EuDML | Numdam | DOI

[5] Sprindžuk, V. G., Metric theory of diophantine approximations, V.H.Winston & Sons, Washington, D.C., 1979. | MR | Zbl