Additive decompositions of sets with restricted prime factors
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Publication:2944829
DOI10.1090/S0002-9947-2014-06384-8zbMath1325.11098arXiv1309.0593OpenAlexW2963031536MaRDI QIDQ2944829
Christian Elsholtz, Adam J. Harper
Publication date: 8 September 2015
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.0593
Applications of sieve methods (11N36) Distribution of integers with specified multiplicative constraints (11N25)
Related Items (8)
On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I (Additive decompositions) ⋮ On additive and multiplicative decompositions of sets of integers with restricted prime factors. I: Smooth numbers ⋮ On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II (Multiplicative decompositions) ⋮ Almost all sets of nonnegative integers and their small perturbations are not sumsets ⋮ Metric decomposability theorems on sets of integers ⋮ Inverse questions for the large sieve ⋮ On additive and multiplicative decompositions of sets of integers with restricted prime factors. II: Smooth numbers and generalizations ⋮ Any small multiplicative subgroup is not a sumset
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