Multiplicative representations of integers

DOI10.1007/BF02772173zbMath0621.10040OpenAlexW2062563700MaRDI QIDQ1090362

Melvyn B. Nathanson

Publication date: 1987

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02772173

zbMATH Keywords

asymptotic least common multiple basesasymptotic multiplicative basisasymptotic multiplicative systemasymptotic union basesnumber of multiplicative representations

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Additive bases, including sumsets (11B13)

Related Items (6)

Multiplicative Representations of Integers and Ramsey’s Theorem ⋮ On multiplicative bases in commutative semigroups ⋮ Combinatorial properties of products of graphs ⋮ On multiplicative bases in abelian groups ⋮ Inverse Problems for Representation Functions in Additive Number Theory ⋮ Some remarks on minimal bases and maximal nonbases of integers

Cites Work

• Unnamed Item
• Nonexistence of maximal asymptotic union nonbases
• Extension of some theorems on the density of series of elements of \(N\) to series of finite subsets of \(N\).
• On the multiplicative representation of integers
• Two Proofs in Combinatorial Number Theory

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