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math.NT2024
Solutions to some problems on unique representation bases
Yuchen Ding
In this note, three 2003 problems of Nathanson and two 2007 problems of Chen on unique representation bases for the integers are resolved.
math.NT2024
Solutions to a Romanoff type problem
Yuchen Ding
We answer negatively a 2014 problem of Yang and Chen on Romanoff type representations. Sharp results involving their problem were also obtained in this article.