New examples of noncommutative Λ(p) sets

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New examples of noncommutative Λ(p) sets

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/10634

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Title: New examples of noncommutative Λ(p) sets
Author: Banks, William David, 1964-; Harcharras, Asma
Keywords: Fourier series
Date: 0000
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.
URI: http://hdl.handle.net/10355/10634

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  • Mathematics publications (MU) [119]
    The items in this collection are the scholarly output of the faculty, staff, and students of the Department of Mathematics.

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