Yuchen Ding

collaborators

4 papers

math.NT2022

A counterexample of two Romanov type conjectures

Yuchen Ding

In this note, we disprove two Romanov type conjectures posed by Chen.

math.NT2022

Sum of elements in finite Sidon sets II

Yuchen Ding

A set $S \subset {1, 2, ..., n}$ is called a Sidon set if all the sums $a + b (a, b \in S)$ are different. Let $S_{n}$ be the largest cardinality of the Sidon sets in ${1, 2, ..., n}$ . In a…

math.NT2022

On a conjecture of Erdős

Yong-Gao Chen, Yuchen Ding

Let $P$ denote the set of all primes. In 1950, P. Erdős conjectured that if $c$ is an arbitrarily given constant, $x$ is sufficiently large and $a_{1}, \dots, a_{t}$ are posi…

math.NT2018

A note on the sum of reciprocals

Yuchen Ding, Yu-Chen Sun

For a fixed positive integer $m$ and any partition $m = m_{1} + m_{2} + \dots + m_{e}$ , there exists a sequence ${n_{i}}_{i = 1}^{k}$ of positive integers such that $$m=\frac{1}{n_{1}}…