On the number of Markoff numbers below a given bound
On the number of Markoff numbers below a given bound
According to a famous theorem of Markoff, the indefinite quadratic forms with exceptionally large minima (greater than <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="one third"> <mml:semantics> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>3</mml:mn> </mml:mfrac> <mml:annotation encoding="application/x-tex">\frac {1}{3}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of the square root of the discriminant) are in 1 : 1 correspondence with the solutions …