43 citations · 94 across the 43 of their papers we have counts for
Showing 2013 · math.NTShow all
2 papers · 2 filters
math.NT2013★ 10 cited
Rational points on some Fermat curves and surfaces over finite fields
Jose Felipe Voloch, Michael E. Zieve
We give an explicit description of the F_{q^i}-rational points on the Fermat curve u^{q-1}+v^{q-1}+w^{q-1}=0 for each i=1,2,3. As a consequence, we observe that for any such point…
math.NT2013★ 2 cited
Evidence for the Dynamical Brauer-Manin Criterion
Ekaterina Amerik, Par Kurlberg, Khoa Nguyen +3
Let f:X->X be a morphism of a variety over a number field K. We consider local conditions and a "Bruaer-Manin" condition, defined by Hsia and Silverman, for the orbit of a point P…