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Presents a solution to the 10th problem (to find a method for deciding if a Diophantine equation has an integral solution). The work contains applications of the technique developed for that solution and describes the improvements of the original proof since the problem was "uns…
Hilbert's tenth problem is one of 23 problems proposed by David Hilbert in 1900 at the International Congress of Mathematicians in Paris. These problems gave focus for the exponential development of mathematical thought over the following century. The tenth problem asked for a g…