Partitions of the set of nonnegative integers with the same representation functions

DOI10.1016/j.disc.2017.01.011zbMath1421.11091arXiv1606.06929OpenAlexW2964254391MaRDI QIDQ2400545

Sándor Z. Kiss, Csaba Sándor

Publication date: 29 August 2017

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06929

zbMATH Keywords

additive number theoryrepresentation functionspartitions of set of natural numbers

Mathematics Subject Classification ID

Elementary theory of partitions (11P81) Galois cohomology (11R34)

Related Items (14)

On a problem of partitions of \(\mathbb{Z}^m\) with the same representation functions ⋮ On certain properties of partitions of \(\mathbb{Z}^m\) with the same representation function. II ⋮ On the structure of finite sets with the same representation functions ⋮ Integer sets with identical representation functions. II ⋮ On the structure of sets in a residue class ring with the same representation function ⋮ Partitions of finite nonnegative integer sets with identical representation functions ⋮ PARTITIONS OF THE SET OF NONNEGATIVE INTEGERS WITH THE SAME REPRESENTATION FUNCTIONS ⋮ ON PARTITIONS OF NONNEGATIVE INTEGERS AND REPRESENTATION FUNCTIONS ⋮ Constructing finite sets from their representation functions ⋮ ON A PROBLEM OF CHEN AND LEV ⋮ On a problem of partitions of the set of nonnegative integers with the same representation functions ⋮ On certain properties of partitions of \(\mathbb{Z}_m\) with the same representation function ⋮ PARTITIONS OF WITH IDENTICAL REPRESENTATION FUNCTION ⋮ ON INTEGER SETS WITH THE SAME REPRESENTATION FUNCTIONS

Cites Work

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• On the nonvanishing of representation functions of some special sequences
• Partitions of natural numbers with the same representation functions
• Reconstructing integer sets from their representation functions
• Partitions of the set of natural numbers and their representation functions
• Integer sets with identical representation functions
• On additive properties of two special sequences
• Additive properties of certain sets
• On the values of representation functions

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