Expansions, inequalities and approximations.
On the occasion of Gavin Brown’s 65th Birthday
University of Sydney, Australia, 5-6 March 2007
±1, and 2 as the four digits. Can every integer be
expressed as a quotient of integers requiring just the three digits 0, and ±1? Such questions are
notoriously slippery and John and I therefore remain inordinately proud of the clever tricks we
eventually recalled, after far too much effort, to settle the issue. I will tell the story of our travails.