Generalization of a Theorem of Carlitz

Omran Ahmadi

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arXiv · 1003.5856

Generalization of a Theorem of Carlitz

Omran Ahmadi

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Abstract

We generalize Carlitz' result on the number of self reciprocal monic irreducible polynomials over finite fields by showing that similar explicit formula hold for the number of irreducible polynomials obtained by a fixed quadratic transformation. Our main tools are a combinatorial argument and Hurwitz genus formula.

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Omran Ahmadi. 2010-03-30. Generalization of a Theorem of Carlitz. https://arxiv.org/abs/1003.5856

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