@article{JEMS_2013_15_5_a11, author = {Pietro Corvaja and Umberto Zannier}, title = {Greatest common divisors of $u-1, v-1$ in positive characteristic and rational points on curves over finite fields}, journal = {Journal of the European Mathematical Society}, pages = {1927--1942}, publisher = {mathdoc}, volume = {15}, number = {5}, year = {2013}, doi = {10.4171/jems/409}, url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/409/} }