Irreducible polynomials in Fq[x] versus 1 - qz in C[z]
Barry Brent
math.NTarXiv:math/0612614
Abstract
Let q be a prime power and Nn count degree-n monic irreducible polynomials in Fq[x]. We show that prodn=1∞ (1 -zn)Nn = 1 - qz for small |z|.
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