@article{10_4064_aa120_1_2,
     author = {Yan-Hui Qu and Hui Rao and Ya-Min Yang},
     title = {Periods of $\beta $-expansions and
 linear recurrent sequences},
     journal = {Acta Arithmetica},
     pages = {27--37},
     publisher = {mathdoc},
     volume = {120},
     number = {1},
     year = {2005},
     doi = {10.4064/aa120-1-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa120-1-2/}
}