On the structure of sets in a residue class ring with the same representation function

DOI10.1016/j.aam.2023.102533zbMath1529.11011OpenAlexW4366437953MaRDI QIDQ6044315

Rui-Jing Wang, Wang-Xing Yu, Shi-Qiang Chen

Publication date: 17 May 2023

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2023.102533

zbMATH Keywords

partitioncharacteristic functionrepresentation function

Mathematics Subject Classification ID

Additive bases, including sumsets (11B13) Representation functions (11B34)

Cites Work

• Partitions of natural numbers with the same weighted representation functions
• An extension of Nathanson's theorem on representation functions
• On certain properties of partitions of \(\mathbb{Z}_m\) with the same representation function
• On the structure of some sets which have the same representation functions
• Reconstructing integer sets from their representation functions
• On the values of representation functions. II.
• 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
• Partitions of the set of nonnegative integers with the same representation functions
• Representation functions on finite sets with extreme symmetric differences
• Partitions of the set of natural numbers and their representation functions
• Integer sets with identical representation functions
• Additive properties of certain sets
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