Yuchen Ding

collaborators

3 papers

math.NT2026

An improved upper bound on the Ruzsa number

Yuchen Ding, Yu-Chen Sun, Lilu Zhao

Let $R_{m}$ be the least positive integer $r$ such that there exists a set $A \subseteq Z_{m}$ with $A + A = Z_{m}$ for which the number of ordered solutions of $n = x + y$ wi…

math.NT2026

An improved lower bound for odd integers not of the form $p + 2^{a} + 2^{b}$

Yuchen Ding, Yu-Chen Sun, Lilu Zhao

Let $x$ be sufficiently large and \[ N(x)=\big|\bigl\{n\le x:n\ \text{is odd and }n\ne p+2^a+2^b \textrm{ with } p \text{ a prime and } a,b\in \mathbb{N}\bigr\}\big|. \] Motivated…

math.NT2025

Problems 66 and 67 on sums of residue classes and primes of AndrÃ¡s SÃ¡rkÃ¶zy's collection of unsolved problems

Yuchen Ding, Christian Elsholtz, Yu-Chen Sun

In this note, we discuss two problems of SÃ¡rkÃ¶zy (2001). In particular, we prove an optimal result on sumsets of sparse subset of primes.

An improved upper bound on the Ruzsa number

An improved lower bound for odd integers not of the form p+2a+2b

Problems 66 and 67 on sums of residue classes and primes of AndrÃ¡s SÃ¡rkÃ¶zy's collection of unsolved problems

An improved lower bound for odd integers not of the form $p + 2^{a} + 2^{b}$