%0 Journal Article %A H. G. Grundman %A L. L. Hall-Seelig %T Solutions to $xyz = 1$ and $x+y+z = k$ in algebraic integers of small degree, I %J Acta Arithmetica %D 2014 %P 381-392 %V 162 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/aa162-4-5/ %R 10.4064/aa162-4-5 %G en %F 10_4064_aa162_4_5