ABSTRACT

This is a survey of the author’s past search for an approach to Markoff’s work which would seem proportionate to the challenge. The Markoff spectrum is currently defined (see [11], [17]) as the set of values μ(θ) for real θ defined (with p, q ∈ Z) as () μ ( θ ) − 1   =   lim   inf   q   →   ∞   | q ( q   −   p θ ) | . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203747018/bef25d74-ef02-4914-ac4f-27ec89fc30ac/content/eq579.tif"/>