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dc.contributor.authorBanks, William David, 1964-
dc.contributor.authorHarcharras, Asma
dc.date.issued2003
dc.descriptionThis 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.abstractIn 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.urihttp://hdl.handle.net/10355/10634
dc.relation.ispartofMathematics publications (MU)en
dc.relation.ispartofcommunityUniversity of Missouri-Columbia. College of Arts and Sciences. Department of Mathematics
dc.source.urihttp://www.math.missouri.edu/~bbanks/papers/index.htmlen_US
dc.subjectFourier seriesen_US
dc.subject.lcshFourier seriesen_US
dc.titleNew examples of noncommutative Λ(p) setsen_US
dc.typePreprinten_US


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