Yuchen Ding

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20242026

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math.NT2026

Short intervals for the Romanoff-type sumset

Yuchen Ding, Johann Verwee

Let $X$ be large and let $P$ denote the set of primes. Fix positive real parameters $r_{1}, \dots, r_{s}$ and a parameter $I^» ⩾ 1$ determined by a balancing relation, an…

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.