11 citations · 19 across the 10 of their papers we have counts for
11 papers
On the number of solutions of decomposable form inequalities
Cameron L. Stewart
In 2001 Thunder gave an estimate for the number of integer solutions of decomposable form inequalities under the assumption that the forms are of finite type. The purpose of this a…
On sequences of integers with small prime factors
C. L. Stewart
We show that the difference between consecutive terms in sequences of integers whose greatest prime factor grows slowly tends to infinity.
On prime factors of terms of binary recurrence sequences
C. L. Stewart
We give estimates from below for the greatest prime factor of the n-th term of a binary recurrence sequence.
Counting solvable -unit equations
I. E. Shparlinski, C. L. Stewart
We obtain upper bounds on the number of finite sets of primes below a given bound for which various variable -unit equations have a solution.
On the distribution of multiplicatively dependent vectors
Sergei V. Konyagin, Min Sha, Igor E. Shparlinski +1
In this paper, we study the distribution of multiplicatively dependent vectors. For example, although they have zero Lebesgue measure, they are everywhere dense both in $\mathbb{R}…
Mahler's work on Diophantine equations and subsequent developments
Jan-Hendrik Evertse, Kálmán Győry, Cameron L. Stewart
We discuss Mahler's work on Diophantine approximation and its applications to Diophantine equations, in particular Thue-Mahler equations, S-unit equations and S-integral points on…