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math.AG2016
The Number of Irreducible Polynomials with the First Two Coefficients Fixed over Finite Fields of Odd Characteristic
Gary McGuire, Emrah Sercan Yılmaz
In this paper we give a different proof of Kuz'min's result on the number of irreducible polynomials with the first two coefficients fixed. Our technique is to relate the question…
math.AG2016
Slope Estimates for Generalized Artin-Schreier Curves
Emrah Sercan Yılmaz, Gary McGuire
We provide first slope estimates of the Newton polygon of generalized Artin-Schreier curves, which are proved using the action of Frobenius and Verschiebung on cohomology. We provi…