Patrick Ingram

most citedMultiples of integral points on elliptic curves

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2008★ 1 cited

Multiples of integral points on elliptic curves

Patrick Ingram

If $E$ is a minimal elliptic curve defined over $\ZZ$, we obtain a bound $C$ , depending only on the global Tamagawa number of $E$ , such that for any point $P\in E(\QQ)$, $n P$ is in…

math.NT2007

Lower bounds on the canonical height associated to the morphism ϕ(z)= z^d+c

Patrick Ingram

Certain lower bounds are obtained on the canonical height associated to the morphism $ϕ (z) = z^{d} + c$ .

math.NT2007

Primitive divisors on twists of the Fermat cubic

Graham Everest, Patrick Ingram, Shaun Stevens

We show that for an elliptic divisibility sequence on a twist of the Fermat cubic, u^3+v^3=m, with m cube-free, all the terms beyond the first have a primitive divisor.