Bourque-Ligh Conjecture
المؤلف:
Bourque, K. and Ligh, S.
المصدر:
"On GCD and LCM Matrices." Linear Algebra Appl. 174
الجزء والصفحة:
...
22-8-2020
972
Bourque-Ligh Conjecture
Bourque and Ligh (1992) conjectured that the least common multiple matrix on a GCD-closed set 
is nonsingular. This conjecture was shown to be false by Haukkanen et al. (1997) and subsequently by Hong (1999).
REFERENCES:
Bourque, K. and Ligh, S. "On GCD and LCM Matrices." Linear Algebra Appl. 174, 65-74, 1992.
Haukkanen, P.; Wang, J.; and Sillanpää, J. "On Smith's Determinant." Linear Alg. Appl. 258, 251-269, 1997.
Hong, S. "On the Bourque-Ligh Conjecture of Least Common Multiple Matrices." J. Algebra 218, 216-228, 1999.
الاكثر قراءة في نظرية الاعداد
اخر الاخبار
اخبار العتبة العباسية المقدسة
