Number Theory study group: Problem in diophantine approximation - a dynamical systems approach

Event details

In the final paper of their series on Diophantine Approximation, Hardy & Littlewood applied numerous techniques to analyse the growth of the cosecant series. Later, in his introduction to 'The Collected Papers of GH Hardy', Davenport wrote : 'The proof of this remarkable result is curiously indirect; it involves contour integration and the use of Cesaro means of arbitrarily high order'. Including it in his list of the top 5 unsolved problems from Hardy's work, he added: 'The problem is to give a simpler and more direct proof of these results'.