14 citations · 32 across the 17 of their papers we have counts for
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math.NT2011
Heights of divisors of x^n-1
Lola Thompson
The height of a polynomial with integer coefficients is the largest coefficient in absolute value. Many papers have been written on the subject of bounding heights of cyclotomic po…
math.NT2011
Polynomials with divisors of every degree
Lola Thompson
We consider polynomials of the form t^n-1 and determine when members of this family have a divisor of every degree in Z[t]. With F(x) defined to be the number of such integers up t…
math.NT2011
On the divisors of x^n-1 in F_p[x]
Lola Thompson
In a recent paper, we considered integers n for which the polynomial x^n - 1 has a divisor in Z[x] of every degree up to n, and we gave upper and lower bounds for their distributio…