Solutions to some problems on unique representation bases

In this note, three 2003 problems of Nathanson and two 2007 problems of Chen on unique representation bases for the integers are resolved.

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Publication Details

Journal
Journal of Combinatorial Theory Series A
Published
2026-01-29
DOI
https://doi.org/10.1016/j.jcta.2026.106166
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Solutions to some problems on unique representation bases

Yuchen Ding
Journal of Combinatorial Theory Series A
Finite Group Theory Research
article

Solutions to some problems on unique representation bases

Yuchen Ding
article en

Abstract

In this note, three 2003 problems of Nathanson and two 2007 problems of Chen on unique representation bases for the integers are resolved.

Journal of Combinatorial Theory Series AVol. 221
Yangzhou University (CN)
Openalex Percentile: Top 69%
Finite Group Theory Research
DOIOpen Access PDFOpenAlex
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Solutions to some problems on unique representation bases — Yuchen Ding · Journal of Combinatorial Theory Series A (2026) | TGRS Research Map | TGRS