Let a and b be integers. Recall that a pair of Bezout coefficients for a and...

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Advance Math

Let a and b be integers. Recall that a pair of Bezoutcoefficients for a and b is a pair of integers m, n ? Z such thatma + nb = (a, b).

Prove that, for any fixed pair of integers a and b, there areinfinitely many pairs of Bezout coefficients.

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