Lilu Zhao

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.NT2023

On a conjecture of Ram\'ırez Alfons\'ın and Skałba II

Yuchen Ding, Wenguang Zhai, Lilu Zhao

Let $1 < c < d$ be two relatively prime integers and $g_{c, d} = c d - c - d$ . We confirm, by employing the Hardy--Littlewood method, a 2020 conjecture of Ram\'ırez Alfons\'ın and Skałba which…

An improved upper bound on the Ruzsa number

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

On a conjecture of Ram\'ırez Alfons\'ın and Skałba II

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