%0 Journal Article %A Kirsten Eisenträger %A Alexandra Shlapentokh %T Hilbert's Tenth Problem over function fields of positive characteristic not containing the algebraic closure of a finite field %J Journal of the European Mathematical Society %D 2017 %P 2103-2138 %V 19 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4171/jems/714/ %R 10.4171/jems/714 %F JEMS_2017_19_7_a5