The Number of Irreducible Polynomials with the First Two Coefficients Fixed over Finite Fields of Odd Characteristic
classification
🧮 math.AG
keywords
numbercoefficientscurvefirstfixedirreduciblepolynomialscalculate
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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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