3 papers
math.NT2020
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.
math.NT2017
A lower bound for the two-variable Artin conjecture and prime divisors of recurrence sequences
M. Ram Murty, François Séguin, Cameron L. Stewart
In 1927, Artin conjectured that any integer other than -1 or a perfect square generates the multiplicative group for infinitely many . In \cite{M…
math.NT2016
On multiplicatively dependent vectors of algebraic numbers
Francesco Pappalardi, Min Sha, Igor E. Shparlinski +1
In this paper, we give several asymptotic formulas for the number of multiplicatively dependent vectors of algebraic numbers of fixed degree, or within a fixed number field, and bo…