The Equation Xk + Yk = Zk In Commuting Rational Matrices
Canadian mathematical bulletin, Tome 26 (1983) no. 4, pp. 406-409
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Solutions of Xk + Yk = Zk in invertible pairwise commuting rational 2 × 2 matrices are determined for k = 3, 4, 6, 9, from the analogous results of A. Aigner for algebraic number fields.
Rush, David E. The Equation Xk + Yk = Zk In Commuting Rational Matrices. Canadian mathematical bulletin, Tome 26 (1983) no. 4, pp. 406-409. doi: 10.4153/CMB-1983-067-1
@article{10_4153_CMB_1983_067_1,
author = {Rush, David E.},
title = {The {Equation} {Xk} + {Yk} = {Zk} {In} {Commuting} {Rational} {Matrices}},
journal = {Canadian mathematical bulletin},
pages = {406--409},
year = {1983},
volume = {26},
number = {4},
doi = {10.4153/CMB-1983-067-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-067-1/}
}
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