dc.contributor.author | Banks, William David, 1964- | |

dc.contributor.author | Harcharras, Asma | |

dc.date.issued | 2003 | |

dc.description | This is a preprint of an article published in the Illinois Journal of Mathematics, vol.47 (2003), issue 4, pp.1063-1078. | en_US |

dc.description.abstract | In this paper, we introduce a certain combinatorial property Z*(k), which is defined for every integer k ≥ 2, and show that every set E ⊂ Z with the property Z*(k) is necessarily a noncommutative Λ (2k) set. In
particular, using number theoretic results about the number of solutions to so-called “S-unit equations,” we show that for any finite set Q of prime numbers, EQ is noncommutative Λ(p) for every real number 2 <
p < ∞, where EQ is the set of natural numbers whose prime divisors all lie in the set Q. | en_US |

dc.identifier.uri | http://hdl.handle.net/10355/10634 | |

dc.relation.ispartof | Mathematics publications (MU) | en |

dc.relation.ispartofcommunity | University of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics | |

dc.source.uri | http://www.math.missouri.edu/~bbanks/papers/index.html | en_US |

dc.subject | Fourier series | en_US |

dc.subject.lcsh | Fourier series | en_US |

dc.title | New examples of noncommutative Λ(p) sets | en_US |

dc.type | Preprint | en_US |