Problems in additive number theory. II: Linear forms and complementing sets

DOI10.5802/jtnb.675zbMath1239.11025OpenAlexW2315595928MaRDI QIDQ1032647

Melvyn B. Nathanson

Publication date: 26 October 2009

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/10885

zbMATH Keywords

\(t\)-complementing pairscomplementing setsrepresentation by linear forms

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Inverse problems of additive number theory, including sumsets (11P70) Representation functions (11B34)

Related Items (2)

Sidon sets for linear forms ⋮ Periodicity of complementing multisets

Cites Work

• Unnamed Item
• Tilings of the integers can have superpolynomial periods
• Tesselation of integers
• Translational tilings of the integers with long periods
• Generalized additive bases, König's lemma, and the Erdős--Turán conjecture
• Tiling the line with translates of one tile
• Complementing pairs of subsets of the phase
• A characterization of complementing sets of pairs of integers
• Divisibility of integer polynomials and tilings of the integers
• Complementing Sets of n-Tuples of Integers

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