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math.NT2010★ 10 cited
Polynomial Zsigmondy theorems
Anthony Flatters, Thomas Ward
We find analogues of the primitive divisor results of Zsigmondy, Bang, Bilu-Hanrot-Voutier, and Carmichael in polynomial rings, following the methods of Carmichael.
math.NT2009
Power Values of Certain Quadratic Polynomials
Anthony Flatters
In this article we compute the th power values of the quadratic polynomials with negative squarefree discriminant such that is coprime to the class number of the splitti…
math.NT2007★ 1 cited
Primitive Divisors of some Lehmer-Pierce Sequences
Anthony Flatters
We study the primitive divisors of the terms of , where for a real quadratic field, and a unit element of its ring of int…