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On Bourque-Ligh conjecture of LCM matrices. (English) Zbl 0869.11022

The author shows that the Bourque-Ligh conjecture (see the review Zbl 0869.11020 above) holds if and only if \(n\leq 7\).

MSC:

11C20 Matrices, determinants in number theory
11A05 Multiplicative structure; Euclidean algorithm; greatest common divisors
15B36 Matrices of integers
11A25 Arithmetic functions; related numbers; inversion formulas
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