@article{10_4064_fm185_2_4,
     author = {Thanases Pheidas and Xavier Vidaux},
     title = {Extensions of {B\"uchi's} problem: {
Questions} of decidability for addition and
$k$th powers},
     journal = {Fundamenta Mathematicae},
     pages = {171--194},
     publisher = {mathdoc},
     volume = {185},
     number = {2},
     year = {2005},
     doi = {10.4064/fm185-2-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm185-2-4/}
}