20 citations · 20 across the 2 of their papers we have counts for
3 papers
math.NT2026
Short Salem polynomials
James McKee, Chris Smyth
We give a complete classification of all Salem polynomials of length 5. For length 6 we show that all but finitely many Salem polynomials lie in one of 12 infinite families, and su…
math.GR2026
Subsets of abelian groups closed under addition or subtraction
Artūras Dubickas, Chris Smyth
In this article, we first describe all nonempty sets of integers S with the property that for all n and m in S, not necessarily distinct, the set {n-m,n+m} intersected with S consi…
math.NT2009★ 20 cited
The terms in Lucas sequences divisible by their indices
Chris Smyth
For Lucas sequences of the first kind (u_n) and second kind (v_n) defined as usual for positive n by u_n=(a^n-b^n)/(a-b), v_n=a^n+b^n, where a and b are either integers or conjugat…