Hilbert Tenth Problem: history of its solution

Hilbert's Tenth Problem

History of the problem and its solution

You can read the survey article Hilbert's Tenth Problem: What can we do with Diophantine equations , written by Yuri Matiyasevich . (HTML version of this survey is to appear soon.)

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Laboratory of Mathematical Logic at St. Petersburg Division of Steklov Institute of Mathematics (POMI) of Russian Academy of Sciences