Representation Functions of Sequences in Additive Number Theory

DOI10.2307/2042524zbMath0396.10045OpenAlexW4237585636MaRDI QIDQ4179089

Melvyn B. Nathanson

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2042524

zbMATH Keywords

Addition of SequencesRepresentation FunctionsSum Sets

Mathematics Subject Classification ID

Elementary theory of partitions (11P81) Additive bases, including sumsets (11B13) Representation functions (11B34)

Related Items (10)

On the structure of sets which have coinciding representation functions ⋮ Representation functions avoiding integers with density zero ⋮ On additive properties of general sequences ⋮ Partitions of natural numbers with the same representation functions ⋮ On additive complement of a finite set ⋮ Representation functions on finite sets with extreme symmetric differences ⋮ Generalized additive bases, König's lemma, and the Erdős--Turán conjecture ⋮ An extension of Nathanson's theorem on representation functions ⋮ On additive properties of general sequences ⋮ Inverse Problems for Representation Functions in Additive Number Theory

Cites Work

• On the addition of sequences of integers
• On a Problem of Additive Number Theory†
• Additive properties of random sequences of positive integers
• Tauberian theorems for sum sets
• On Pseudo-Squares

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