Finding large additive and multiplicative Sidon sets in sets of integers

Yifan Jing, Akshat Mudgal

Given $h,g\in \mathbb{N}$, we write a set $X\subset \mathbb{Z}$ to be a $B_h^{+}[g]$ set if for any $n\in \mathbb{Z}$, the number of solutions to the additive equation $n = x_…