Source: /cirosantilli/hilbert-s-tenth-problem-over-other-fields

= Hilbert's tenth problem over other fields
{c}

https://mathoverflow.net/questions/11540/what-are-the-most-attractive-turing-undecidable-problems-in-mathematics/11557\#11557 contains a good overview of the decidability status of variants over <fields> other than the <integers>.