%0 Journal Article
%T On the frequency of partial quotients of regular continued fractions
%A Ai-Hua Fan
%A Lingmin Liao
%A Ji-Hua Ma
%J Mathematics
%D 2009
%I arXiv
%R 10.1017/S0305004109990235
%X We consider sets of real numbers in $[0,1)$ with prescribed frequencies of partial quotients in their regular continued fraction expansions. It is shown that the Hausdorff dimensions of these sets, always bounded from below by $1/2$, are given by a modified variational principle.
%U http://arxiv.org/abs/0906.3283v1