120 citations · 320 across the 31 of their papers we have counts for
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math.NT2012★ 120 cited
An effective lower bound for the height of algebraic numbers
Paul Voutier
We prove that if is a non-zero algebraic number of degree which is not a root of unity, then $dh(α)>(1/4) (\log(\log (d))/\log(d))^3.
math.NT2012★ 17 cited
Primitive divisors of Lucas and Lehmer sequences, III
Paul Voutier
In this paper we prove that if then the -th element of any Lucas or Lehmer sequence has a primitive divisor.
math.NT2012★ 11 cited
Primitive divisors of Lucas and Lehmer sequences, II
Paul Voutier
Let $\al$ and $\be$ be conjugate complex algebraic integers which generate Lucas or Lehmer sequences. We present an algorithm to search for elements of such sequences which have no…
math.NT2012★ 66 cited
Primitive divisors of Lucas and Lehmer sequences
Paul M Voutier
Stewart reduced the problem of determining all Lucas and Lehmer sequences whose -th element does not have a primitive divisor to solving certain Thue equations. Using the method…