Zihan Zhang

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math.NT2026

An Improvement of Konstantoulas' Density Constant

Huixi Li, Zihan Zhang

Let $A \subset N$ , and define its ordered representation function $r (n) = # {(a, b) \in A \times A : a + b = n} .$ The Erdos--Turan conjecture asserts that, if $r (n) > 0$ for all sufficiently…

math.NT2025

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

Yuchen Ding, Ben Krause, Csaba Sándor +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…

An Improvement of Konstantoulas' Density Constant

Cross representations of additive complements of r-th powers

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