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Hilbert's tenth problem
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==Further reading== * {{cite journal | first=David|last=Hilbert|author-link=David Hilbert | title=Mathematische Probleme | journal=Archiv der Mathematik und Physik |series=3rd series | volume=1 | pages=44–63, 213–247 | year=1901 | language=de }} * {{cite book | editor=Felix E. Browder | editor-link=Felix Browder | title=Mathematical Developments Arising from Hilbert Problems | series=[[Proceedings of Symposia in Pure Mathematics]] | volume=XXVIII.2 | year=1976 | publisher=[[American Mathematical Society]] | isbn=0-8218-1428-1 | pages=323โ378 | first1=Martin | last1=Davis | author-link1=Martin Davis (mathematician) | first2=Yuri | last2=Matiyasevich | author-link2=Yuri Matiyasevich | first3=Julia | last3=Robinson | author-link3=Julia Robinson | chapter=Hilbert's Tenth Problem: Diophantine Equations: Positive Aspects of a Negative Solution | zbl=0346.02026}} Reprinted in ''The Collected Works of Julia Robinson'', [[Solomon Feferman]], editor, pp. 269–378, American Mathematical Society 1996. * [[Martin Davis (mathematician)|Martin Davis]], "Hilbert's Tenth Problem is Unsolvable," ''American Mathematical Monthly'', vol.80(1973), pp. 233–269; reprinted as an appendix in Martin Davis, ''Computability and Unsolvability'', Dover reprint 1982. * {{cite journal | last1 = Davis | first1 = Martin | author-link = Martin Davis (mathematician) | author-link2 = Reuben Hersh | last2 = Hersh | first2 = Reuben | year = 1973 | title = Hilbert's 10th Problem | journal = [[Scientific American]] | volume = 229 | issue = 5 | pages = 84โ91 | doi=10.1038/scientificamerican1173-84| bibcode = 1973SciAm.229e..84D }} * [[Jan Denef]], Leonard Lipschitz, Thanases Pheidas, Jan van Geel, editors, "Hilbert's Tenth Problem: Workshop at Ghent University, Belgium, November 2–5, 1999." ''Contemporary Mathematics'' vol. 270(2000), American Mathematical Society. * [[M. Ram Murty]] and Brandon Fodden: "Hilbertโs Tenth Problem: An Introduction to Logic, Number Theory, and Computability", American Mathematical Society, {{ISBN|978-1-4704-4399-3}} (June, 2019). * {{cite book | last=Shlapentokh | first=Alexandra | title=Hilbert's tenth problem. Diophantine classes and extensions to global fields | series=New Mathematical Monographs | volume=7 | location=Cambridge | publisher=[[Cambridge University Press]] | year=2007 | isbn=978-0-521-83360-8 | zbl=1196.11166 }}
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