%0 Unpublished Work %A Hall, R.R. %A Shiu, Peter %D 2006 %T The distribution of totatives %U https://repository.lboro.ac.uk/articles/preprint/The_distribution_of_totatives/9383756 %2 https://repository.lboro.ac.uk/ndownloader/files/16995728 %K Erdos %K Lehmer %K Mathematics %K Totatives %K Mathematical Sciences not elsewhere classified %X D. H. Lehmer initiated the study of the distribution of totatives, which are numbers coprime with a given integer. This led to various problems considered by P. Erdos, who made a conjecture on such distributions. We clarify results due to Erdos and prove his conjecture by establishing a theorem on the ordering of residues. %I Loughborough University