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math.NT2018
Bivariate polynomial injections and elliptic curves
Hector Pasten
For every number field , we construct an affine algebraic surface over with a Zariski dense set of -rational points, and a regular function on inducing an inj…
math.NT2018
Bounded ranks and Diophantine error terms
Hector Pasten
We show that Lang's conjecture on error terms in Diophantine approximation implies Honda's conjecture on ranks of elliptic curves over number fields. We also show that even a very…