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Density of rational points on elliptic curves and small transcendence degree
rational points elliptic curves
2010/11/19
In this paper we pursue two goals: (I) We show how Weil restrictions to real subfields can be fruitfully applied to improve transcendence results. (II) We elaborate (I) in the context of algebraic in...
Inhomogeneous cubic congruences and rational points on del Pezzo surfaces
Inhomogeneous cubic congruences rational points del Pezzo surfaces
2010/11/22
For given non-zero integers a,b,q we investigate the density of integer solutions (x,y) to the binary cubic congruence ax^2+by^3=0 (mod q) and use it to establish the Manin conjecture for a singular d...