@article{JEMS_2017_19_7_a5, author = {Kirsten Eisentr\"ager and Alexandra Shlapentokh}, title = {Hilbert's {Tenth} {Problem} over function fields of positive characteristic not containing the algebraic closure of a finite field}, journal = {Journal of the European Mathematical Society}, pages = {2103--2138}, publisher = {mathdoc}, volume = {19}, number = {7}, year = {2017}, doi = {10.4171/jems/714}, url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/714/} }