B. Omidi Koma

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We study the number Nγ(n, c, q) of irreducible polynomials of degree n over Fq where the trace γ and the constant term c are given. Under certain conditions on n and q, we obtain bounds on the maximum of Nγ(n, c, q) varying c and γ. We show with concrete examples how our results improve previous known bounds. In addition, we improve upper and lower bounds(More)
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