TY - JOUR AU - Douglas Bowman AU - Alexandru Zaharescu TI - Natural numbers $n$ for which $\lfloor n\alpha +s\rfloor \not =\lfloor n\beta +s\rfloor $ JO - Acta Arithmetica PY - 2012 SP - 217 EP - 233 VL - 154 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/aa154-3-1/ DO - 10.4064/aa154-3-1 LA - en ID - 10_4064_aa154_3_1 ER -