An effective bound on Generalized Diophantine m-tuples

S. Bhattacharjee, A. B. Dixit, D. Saikia

For non-zero integers $n$ and $k\ge 2$, a generalized Diophantine $m$-tuple with property $D_k(n)$ is a set of $m$ positive integers $S=\{a_1,a_2,\dots ,a_m\}$ such that $a_ia_j…