  In a circle (an S^1) with circumference 1 assume m objects distributed
pseudo-randomly. In the universal covering R^1 assume the objects replicated
accordingly, and take an interval L>1. In this interval, make the normalized
histogram of the pair separations which are not an integer. The theoretical
(expected) such histogram is obtained in this report, as well as its difference
to a similar histogram for non-replicated objects. The whole study is of
interest for the cosmic crystallography.
