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On Matrix Strong Diophantine 540-Tuples, Matrix Elliptic Curves and Matrix Hyperelliptic Curves
Mathematics Department, N’Djamena University, N’Djamena, Tchad
Mathematics Department, Blessington Christian University, Nkayi, Republic of Congo
- 1 Mathematics Department, N’Djamena University, N’Djamena, Tchad
- 2 Mathematics Department, Blessington Christian University, Nkayi, Republic of Congo
Advances in Pure Mathematics·Volume 15 (2025)·Pages 751–762·Published 3 November 2025·DOI10.4236/apm.2025.1511041
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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.
KeywordsMatricesDiophantine m -TuplesElliptic Curves
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