Certain Diophantine Tuples in Imaginary Quadratic Fields

Shubham Gupta

Let $K$ be an imaginary quadratic field and ${\mathcal{O}}_K$ be its ring of integers. A set $\{a_1,a_2,\cdots ,a_m\}\subset {\mathcal{O}}_K\setminus \{0\}$ is called a Diophantine $…