TITLE:
On Matrix Strong Diophantine 540-Tuples, Matrix Elliptic Curves and Matrix Hyperelliptic Curves
AUTHORS:
Djagwa Dehainsala, Joachim Moussounda Mouanda
KEYWORDS:
Matrices, Diophantine m-Tuples, Elliptic Curves
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.15 No.11,
November
28,
2025
ABSTRACT: We introduce an algorithm which allows us to prove that there exists an infinite number of matrix strong Diophantine 540-tuples with positive integers as entries. We construct matrix elliptic curves and matrix hyperelliptic curves by using matrix strong Diophantine 540-tuples.