On additive representation functions of finite sets, I (Variation)

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Abstract

If m ∈ ℕ, ℤm is the additive group of the modulo m residue classes, A ⊂ ℤm and n ∈ ℤm, then let R(A,n) denote the number of solutions of a+a′ = n with a,a′ ∈ A. The variation, is estimated in terms of the number of a's with a - 1 ∉ A, a ∈ A.

Original languageEnglish
Pages (from-to)201-210
Number of pages10
JournalPeriodica Mathematica Hungarica
Volume66
Issue number2
DOIs
Publication statusPublished - Jun 1 2013

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Keywords

  • additive representation function
  • variation

ASJC Scopus subject areas

  • Mathematics(all)

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