Solutions to some problems on unique representation bases
Yuchen Ding
TL;DR
This paper resolves five open problems related to unique representation bases for integers, advancing understanding in this mathematical area.
Contribution
It provides solutions to five longstanding problems posed by Nathanson and Chen concerning unique representation bases.
Findings
Resolved three problems from 2003 by Nathanson.
Solved two problems from 2007 by Chen.
Contributed new insights into the structure of unique representation bases.
Abstract
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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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Numerical Analysis Techniques · graph theory and CDMA systems