### Abstract

If m ∈ ℕ, ℤ_{m} is the additive group of the modulo m residue classes, A ⊂ ℤ_{m} and n ∈ ℤ_{m}, 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 language | English |
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Pages (from-to) | 201-210 |

Number of pages | 10 |

Journal | Periodica Mathematica Hungarica |

Volume | 66 |

Issue number | 2 |

DOIs | |

Publication status | Published - Jun 1 2013 |

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### Keywords

- additive representation function
- variation

### ASJC Scopus subject areas

- Mathematics(all)