%0 Journal Article %A Douglas Bowman %A Alexandru Zaharescu %T Natural numbers $n$ for which $\lfloor n\alpha +s\rfloor \not =\lfloor n\beta +s\rfloor $ %J Acta Arithmetica %D 2012 %P 217-233 %V 154 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/aa154-3-1/ %R 10.4064/aa154-3-1 %G en %F 10_4064_aa154_3_1