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$k$-Diophantine $m$-tuples in Finite Fields Open

Trajan Hammonds, Seoyoung C. Kim, Steven J. Miller, Arjun Nigam, Kyle Onghai , et al. · 2022

In this paper, we define a $k$-Diophantine $m$-tuple to be a set of $m$ positive integers such that the product of any $k$ distinct positive integers is one less than a perfect square. We study these sets in finite fields $\mathbb{F}_p$ fo…