I know that Hilbert's Tenth problem is uncomputable as shown by Matiyasevich's theorem, but for a special case, is Hilbert's tenth problem decidable for degree two homogenous $3$ variable instance of the problem? In other words is $ax^2+by^2+cz^2=0$ has a non trivial zero $\in \mathbb{Z^3}$ decidable?
2026-02-23 22:46:07.1771886767
Degree 2, 3 variable homogenous instance for Hilbert's Tenth Problem
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