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Diophantine set
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==References== * {{cite journal| last=Matiyasevich | first=Yuri V. | author-link=Yuri Matiyasevich | year=1970 |script-title=ru:Диофантовость перечислимых множеств|trans-title=Enumerable sets are Diophantine | journal=[[Doklady Akademii Nauk SSSR]] | volume=191 | pages=279–282 | language=ru | mr=0258744}} English translation in ''Soviet Mathematics'' '''11''' (2), pp. 354–357. * {{cite journal | last=Davis | first=Martin | author-link=Martin Davis (mathematician) | title=Hilbert's Tenth Problem is Unsolvable | journal=[[American Mathematical Monthly]] | volume=80 | pages=233–269 | year=1973 | issue=3 | issn=0002-9890 | zbl=0277.02008 | doi=10.2307/2318447| jstor=2318447 }} * {{cite book | first=Yuri V. | last=Matiyasevich | author-link=Yuri Matiyasevich | title=Hilbert's 10th Problem | others=Foreword by Martin Davis and Hilary Putnam | publisher=MIT Press | isbn=0-262-13295-8 | series=MIT Press Series in the Foundations of Computing | location=Cambridge, MA | year=1993 | zbl=0790.03008 }} * {{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 }} * {{cite journal | author=Sun Zhi-Wei | url=http://math.nju.edu.cn/~zwsun/12d.pdf |archive-url=https://web.archive.org/web/20110707025032/http://math.nju.edu.cn/~zwsun/12d.pdf |archive-date=2011-07-07 |url-status=live | title=Reduction of unknowns in Diophantine representations | journal=Science China Mathematics | volume=35 | number=3 | year=1992 | pages=257–269 | zbl=0773.11077 }}
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