Unique representation bases for the integers

DOI10.4064/aa108-1-1zbMath1154.11306arXivmath/0202137OpenAlexW3101491282MaRDI QIDQ4484405

Melvyn B. Nathanson

Publication date: 12 June 2003

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0202137

zbMATH Keywords

densityadditive basesrepresentation functionsErdős-Turán conjecture

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Additive bases, including sumsets (11B13) Representation functions (11B34)

Related Items (18)

Representation functions avoiding integers with density zero ⋮ Bases in some additive groups and the Erdős-Turán conjecture ⋮ A UNIQUE REPRESENTATION BI-BASIS FOR THE INTEGERS. II ⋮ A problem on unique representation bases ⋮ On bounded basis of integers ⋮ The Erdős–Turán Conjecture in the positive rational numbers ⋮ Representation functions on finite sets with extreme symmetric differences ⋮ ON ADDITIVE REPRESENTATION FUNCTIONS ⋮ On the density of bounded bases ⋮ Unique representation bi-basis for rational numbers field ⋮ On the Erdős-Turán conjecture ⋮ An old conjecture of Erdos–Turán on additive bases ⋮ On some properties of representation functions related to the Erdős-Turán conjecture ⋮ The analogue of Erdős-Turán conjecture in \(\mathbb Z_m\) ⋮ DENSE SETS OF INTEGERS WITH A PRESCRIBED REPRESENTATION FUNCTION ⋮ UNIQUE REPRESENTATION BI-BASIS FOR THE INTEGERS ⋮ Inverse Problems for Representation Functions in Additive Number Theory ⋮ A GENERALIZATION OF CHEN'S THEOREM ON THE ERDŐS–TURÁN CONJECTURE

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