Generalization of a theorem of Carlitz |
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| Authors: | Omran Ahmadi |
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| Institution: | Claude Shannon Institute, University College Dublin, Dublin 4, Ireland |
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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 holds 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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| Keywords: | MSC: 11T06 |
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