Note on a problem of Nathanson related to the $\phi$-Sidon set

Csaba Sándor, Quan-Hui Yang, Jun-Yu Zhou

Let $\phi (x_1,\dots ,x_h)=c_1{x}_1+\cdots +c_h{x}_h$ be a linear form with coefficients in a field $\mathbf{F}$, and let $V$ be a vector space over $\mathbf{F}$. A nonempty…