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Additive completion and disjoint translations

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Publication:1912667
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DOI10.1007/BF01874576zbMath0859.11017MaRDI QIDQ1912667

Laurent Habsieger, Imre Z. Ruzsa

Publication date: 9 April 1997

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)


zbMATH Keywords

asymptotic behaviourcovering numberadditive basesfractional covering numberadditive complementdisjoint translation numberfractional disjoint translation numbers


Mathematics Subject Classification ID

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


Related Items (6)

Inverse problems for minimal complements and maximal supplements ⋮ Generalized more sums than differences sets ⋮ Sets characterized by missing sums and differences ⋮ Constructing MSTD sets using bidirectional ballot sequences ⋮ Explicit constructions of infinite families of MSTD sets ⋮ Counting MSTD sets in finite abelian groups



Cites Work

  • The additive completion of \(k\)th-powers
  • On the additive completion of polynomial sets


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