A note on additive complements of the squares

Yuchen Ding, Yu-Chen Sun, Li-Yuan Wang +1

Let $\mathcal{S}=\{1^2,2^2,3^2,...\}$ be the set of squares and $\mathcal{W}=\{w_n{\}}_{n=1}^{\infty }\subset \mathbb{N}$ be an additive complement of $\mathcal{S}$ so that $\mathcal…