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20132026
most citedDiophantine approximation and the equation (a^2 c x^k - 1)(b^2 c y^k - 1) = (abc z^k - 1)^2

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math.NT2026

Atoms in the Semigroup of Non-Negative Integer Matrices

Lindsay Dever, Eva G. Goedhart, Gregory S. Heilbrunn +1

In the semigroup , two-by-two matrices with non-negative integer entries and non-zero determinant, we study the factorization of matrices into atoms, or…