Yuchen Ding

collaborators

3 papers

math.NT2026

Cross representations of additive complements of $r$ -th powers

Yuchen Ding, Ben Krause, Csaba SÃ¡ndor +2

Let $N$ be the set of natural numbers and $S_{r} = {1^{r}, 2^{r}, 3^{r}, \dots}$ the set of $r$ -th powers, where $r \geq 2$ is a natural number. Let $\mathcal{W}_r…

math.NT2026

Restricted partition functions and additive complements

Yuchen Ding

Let $N$ be the set of positive integers. For subsets $A, M \subseteq N$ and $n \in N$ , let $p (n, A, M)$ denote the num…

math.NT2026

On a conjecture on Romanoff type sumsets

Yuchen Ding, Liangxun Li

In this note, we generalize a 1950 result of P. Erd\H os on upper bounds of $k$ -th moment of Romanoff type representation functions. As an application, we give a conditional proof…

Cross representations of additive complements of r-th powers

Restricted partition functions and additive complements

On a conjecture on Romanoff type sumsets

Cross representations of additive complements of $r$ -th powers