Non-Beiter ternary cyclotomic polynomials with an optimally large set of coefficients

@inproceedings{Moree2012NonBeiterTC,
  title={Non-Beiter ternary cyclotomic polynomials with an optimally large set of coefficients},
  author={Pieter Moree and Eugenia Rosu},
  year={2012}
}
  • Pieter Moree, Eugenia Rosu
  • Published 2012
  • Mathematics
  • Let l ≥ 1 be an arbitrary odd integer and p, q and r be primes. We show that there exist infinitely many ternary cyclotomic polynomials Φpqr(x) with l2 + 3l + 5 ≤ p < q < r such that the set of coefficients of each of them consists of the p integers in the interval [-(p - l - 2)/2, (p + l + 2)/2]. It is known that no larger coefficient range is possible. The Beiter conjecture states that the cyclotomic coefficients apqr(k) of Φpqr satisfy |apqr(k)| ≤ (p + 1)/2 and thus the above family… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 11 REFERENCES

    Flat cyclotomic polynomials of order three

    VIEW 3 EXCERPTS
    HIGHLY INFLUENTIAL

    On Ternary Inclusion-Exclusion Polynomials

    VIEW 6 EXCERPTS
    HIGHLY INFLUENTIAL

    The coefficients of cyclotomic like polynomials of order 3, unpublished manuscript (2008) pp. 5. 19 Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111

    • S. Rosset
    • Bonn, Germany. e-mail: moree@mpim-bonn.mpg.de Department of Mathematics,
    • 2008
    VIEW 1 EXCERPT