%0 Journal Article %A Thanases Pheidas %A Xavier Vidaux %T Extensions of Büchi's problem: Questions of decidability for addition and $k$th powers %J Fundamenta Mathematicae %D 2005 %P 171-194 %V 185 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/fm185-2-4/ %R 10.4064/fm185-2-4 %G en %F 10_4064_fm185_2_4