TITLE:
On Matrix Solutions of the Diophantine Equation X 4n + Y 4n = Z 4n , X,Y,Z∈ M 4n ( ℕ ), and Interconnections between Universes of Matrix Triples
AUTHORS:
Roce A. Mahi, Eric D. Akéké, Joachim M. Mouanda, François E. Tanoé
KEYWORDS:
Matrices, Pythagorean Triples
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.16 No.4,
April
30,
2026
ABSTRACT: Let
n
be a non-zero positive integer, we show that the Diophantine equation
X
4n
+
Y
4n
=
Z
4n
admits an infinite number of matrix solutions in the set
M
4n
(
ℕ
)
. We introduce different relationships between universes.