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- W3202289097 abstract "A polynomial is called self-reciprocal (or palindromic) if the sequence of its coefficients is palindromic. In this paper we obtain improved error bounds for the number of irreducible polynomials and self-reciprocal irreducible monic polynomials with prescribed coefficients over a finite field. The improved bounds imply that self-reciprocal irreducible monic polynomials with degree $2d$ always exist provided that the number of prescribed leading coefficients is slightly less than $ d/2$." @default.
- W3202289097 created "2021-10-11" @default.
- W3202289097 creator A5001469189 @default.
- W3202289097 date "2021-09-28" @default.
- W3202289097 modified "2023-09-25" @default.
- W3202289097 title "Improved error bounds for the number of irreducible polynomials and self-reciprocal irreducible monic polynomials with prescribed coefficients over a finite field" @default.
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- W3202289097 doi "https://doi.org/10.48550/arxiv.2109.14154" @default.
- W3202289097 hasPublicationYear "2021" @default.
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