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math.NT2026
Proof of a Conjecture on Primitive Quartic Polynomials over Finite Fields
Rod Gow, Gary McGuire
We present a proof of a conjecture we made about primitive polynomials, for sufficiently large. The argument follows a standard route, however a deeper result than usual with a…
math.AG2026
On the existence of a morphism between certain Artin-Schreier curves
Beatriz Barbero Lucas, Stefano Lia, Gary McGuire
It is well known that, given two curves and , defined over $\F_p$, if divides then there exists a nonconstant morphism $\m…