Diophantine $D(n)$-quadruples in $\mathbb{Z}[\sqrt{4k+2}]$

Kalyan Chakraborty, Shubham Gupta, Azizul Hoque

Let $d$ be a square-free integer and $\mathbb{Z}[\sqrt{d}]$ a quadratic ring of integers. For a given $n\in \mathbb{Z}[\sqrt{d}]$, a set of $m$ non-zero distinct elements in $\mathb…