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arXiv · 1609.02314

The Number of Irreducible Polynomials with the First Two Coefficients Fixed over Finite Fields of Odd Characteristic

Gary McGuire·Emrah Sercan Yılmaz
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Abstract

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 to the number of points on a curve, and to calculate the L-polynomial of the curve.

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Gary McGuire, Emrah Sercan Yılmaz. 2016-09-08. The Number of Irreducible Polynomials with the First Two Coefficients Fixed over Finite Fields of Odd Characteristic. https://arxiv.org/abs/1609.02314

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