A note on the number of irreducible polynomials over finite fields

  • Authors:

  • Yaotsu Chang

  • Affiliations:

  • Department of Applied Mathematics, I-Shou University, Kaohsiung 840, Taiwan

  • Venue:
  • Analysis, combinatorics and computing
  • Year:
  • 2002

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Abstract

A formula in terms of the Möbius function for the number of monic irreducible polynomials of a given degree over a finite field is well-known. In this note, a lower bound for that number is provided.