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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.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…