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Order Statistics in the Farey Sequences in Sublinear Time and Counting Primitive Lattice Points in Polygons

Jakub Pawlewicz, Mihai Pătraşcu
2008 Algorithmica  
We present the rst sublinear-time algorithms for computing order statistics in the Farey sequence and for the related problem of ranking.  ...  We also initiate the study of a more general problem: counting primitive lattice points inside planar shapes.  ...  Order Statistics. Using the reduction in [20] , a sublinear-time algorithm for Rank does not imply a sublinear algorithm for Stat, due to the additive O(n) term.  ... 
doi:10.1007/s00453-008-9221-z fatcat:mo5zvoaugbbg5bkg2vmfnndshi