Hilbert's Tenth Problem: What was done and what is to be done (Q2715528)

The author is the researcher who solved Hilbert's tenth problem -- the 10th in the famous list of problems presented by Hilbert in 1900. The paper contains a history of the solution, including approaches that did not work, a brief but complete account of the proof and discussion of various relations with other subjects, especially with computational problems in number theory. The author's choice of elementary mathematical language makes the article easily readable by anyone with interest in the problem, regardless of his background.NEWLINENEWLINEFor the entire collection see [Zbl 0955.00034].