most citedSmall rational points on elliptic curves over number fields

17 citations · 28 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2008★ 4 cited

Isotriviality is equivalent to potential good reduction for endomorphisms of over function fields

Clayton Petsche, Lucien Szpiro, Michael Tepper

Let be the function field of a complete nonsingular curve over an arbitrary field . The main result of this paper states that a morphism $ϕ:{\mathbb P}^N_K\to{\math…

math.NT2005★ 17 cited

Small rational points on elliptic curves over number fields

Clayton Petsche

Let E/k be an elliptic curve over a number field. We obtain some quantitative refinements of results of Hindry-Silverman, giving an upper bound for the number of k-rational torsion…

math.NT2005★ 7 cited

Global discrepancy and small points on elliptic curves

Matthew Baker, Clayton Petsche

Let E be an elliptic curve defined over a number field k. In this paper, we define the ``global discrepancy'' of a finite set Z of algebraic points on E which in a precise sense me…