Geodesic
On the Unicity Conjecture for Markoff Numbers
Canadian mathematical bulletin, Tome 39 (1996) no. 1, pp. 3-9

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In 1913 Frobenius conjectured that for any positive integer m, there exists at most one pair of integers (x, y) with 0 ≤ x ≤ y ≤ m such that (x, y, m) is a solution to the Markoff equation: x 2 + y 2 + m 2 = 3xym. We show this is true if either m, 3m — 2 or 3m + 2 is prime, twice a prime or four times a prime.
DOI : 10.4153/CMB-1996-001-x
Mots-clés : 11D25 
Baragar, Arthur. On the Unicity Conjecture for Markoff Numbers. Canadian mathematical bulletin, Tome 39 (1996) no. 1, pp. 3-9. doi: 10.4153/CMB-1996-001-x
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