The necessary and sufficient condition for the solvability of the Diophantine matrix equation \(A^{mx}+A^{my}+A^{mz}=A^{mw}\)
zbMath1216.15014MaRDI QIDQ536479
Izabela Kurzydło, Aleksander Grytczuk
Publication date: 18 May 2011
Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)
tracedeterminantmatrix equationsDiophantine matrix equationFermat's type equation on matricesSchur's Lemma
Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24) Inequalities involving eigenvalues and eigenvectors (15A42) Diophantine equations in many variables (11D72) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)
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