Vijay A. Sookdeo

activity

20082015

collaborators

4 papers

math.NT2015

Backward Orbit Conjecture for the Powering Map over Global Fields

Vijay A. Sookdeo

We show that the backward orbit conjecture is true for powering map $ϕ (z) = z^{d}$ over a function field $K$ with a finite field of constants, and when $d$ is relatively prime to the c…

math.NT2014

Backward Orbit Conjecture for Lattés Maps

Vijay A. Sookdeo

For a Lattès map $ϕ : P^{1} \to P^{1}$ defined over a number field $K$ , we prove a conjecture on the integrality of points in the backward orbit of $P\in \mathbb P^1(\ove…

math.NT2012

Integral points in two-parameter orbits

Pietro Corvaja, Vijay Sookdeo, Thomas J. Tucker +1

Let K be a number field, let f: P_1 --> P_1 be a nonconstant rational map of degree greater than 1, let S be a finite set of places of K, and suppose that u, w in P_1(K) are not pr…

math.NT2008

Integer Points in Backward Orbits

Vijay A. Sookdeo

A theorem of J. Silverman states that a forward orbit of a rational map $ϕ (z)$ on $P^{1} (K)$ contains finitely many $S$ -integers in the number field $K$ when $(ϕ \circ ϕ) (z)$ i…