@article{10_4064_aa154_3_1, author = {Douglas Bowman and Alexandru Zaharescu}, title = {Natural numbers $n$ for which $\lfloor n\alpha +s\rfloor \not =\lfloor n\beta +s\rfloor $}, journal = {Acta Arithmetica}, pages = {217--233}, publisher = {mathdoc}, volume = {154}, number = {3}, year = {2012}, doi = {10.4064/aa154-3-1}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.4064/aa154-3-1/} }