Hilbert's tenth problem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Hilbert's tenth problem" in English language version.

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A review of the joint publication by Davis, Putnam, and Robinson in Mathematical Reviews (MR 0133227) conjectured, in effect, that J.R. was false.
Poonen, Bjorn (2003). "Hilbert's tenth problem and Mazur's conjecture for large subrings of $\mathbb {Q}$ " (PDF). Journal of the American Mathematical Society. 16 (4): 981–990. doi:10.1090/S0894-0347-03-00433-8. MR 1992832. S2CID 8486815.

ams.org

Hilbert 1902, p. 458. Hilbert, David (July 1902). "Mathematical problems". Bull. Amer. Math. Soc. 8 (10): 437–479. doi:10.1090/S0002-9904-1902-00923-3.

archive.org

Matiyasevich 1993. Matiyasevich, Yuri V. (1993). Hilbert's Tenth Problem. MIT Press. ISBN 9780262132954. OCLC 908983760.

arxiv.org

Koymans, Peter; Pagano, Carlo (2024-12-02), Hilbert's tenth problem via additive combinatorics, arXiv:2412.01768, retrieved 2025-03-14
Alpöge, Levent; Bhargava, Manjul; Ho, Wei; Shnidman, Ari (2025-01-30), Rank stability in quadratic extensions and Hilbert's tenth problem for the ring of integers of a number field, arXiv:2501.18774, retrieved 2025-03-14

doi.org

Hilbert 1902, p. 458. Hilbert, David (July 1902). "Mathematical problems". Bull. Amer. Math. Soc. 8 (10): 437–479. doi:10.1090/S0002-9904-1902-00923-3.
Matiyasevich, Yuri (1992). "My Collaboration with Julia Robinson". The Mathematical Intelligencer. 14 (4): 38–45. doi:10.1007/bf03024472. S2CID 123582378.
Poonen, Bjorn (2003). "Hilbert's tenth problem and Mazur's conjecture for large subrings of $\mathbb {Q}$ " (PDF). Journal of the American Mathematical Society. 16 (4): 981–990. doi:10.1090/S0894-0347-03-00433-8. MR 1992832. S2CID 8486815.

mathnet.ru

mi.mathnet.ru

Matiyasevich, Yu. V. (1970). "The diophantineness of enumerable sets". Doklady Akademii Nauk SSSR (in Russian). 191: 279-282.

mit.edu

klein.mit.edu

Poonen, Bjorn (2003). "Hilbert's tenth problem and Mazur's conjecture for large subrings of $\mathbb {Q}$ " (PDF). Journal of the American Mathematical Society. 16 (4): 981–990. doi:10.1090/S0894-0347-03-00433-8. MR 1992832. S2CID 8486815.

pdmi.ras.ru

logic.pdmi.ras.ru

Matiyasevich, Yuri (1992). "My Collaboration with Julia Robinson". The Mathematical Intelligencer. 14 (4): 38–45. doi:10.1007/bf03024472. S2CID 123582378.

semanticscholar.org

api.semanticscholar.org

Matiyasevich, Yuri (1992). "My Collaboration with Julia Robinson". The Mathematical Intelligencer. 14 (4): 38–45. doi:10.1007/bf03024472. S2CID 123582378.
Poonen, Bjorn (2003). "Hilbert's tenth problem and Mazur's conjecture for large subrings of $\mathbb {Q}$ " (PDF). Journal of the American Mathematical Society. 16 (4): 981–990. doi:10.1090/S0894-0347-03-00433-8. MR 1992832. S2CID 8486815.

uni-saarland.de

ps.uni-saarland.de

Dominique Larchey-Wendling and Yannick Forster (2019). Hilbert's Tenth Problem in Coq (PDF) (Technical Report). Saarland University.

wired.com

Howlett, Joseph. "New Proofs Expand the Limits of What Cannot Be Known". Wired. ISSN 1059-1028. Retrieved 2025-03-14.

worldcat.org

search.worldcat.org

Cooper, S. Barry (17 November 2003). Computability theory. Chapman & Hall/CRC mathematics. p. 98. ISBN 9781584882374. OCLC 909209807.
Matiyasevich 1993. Matiyasevich, Yuri V. (1993). Hilbert's Tenth Problem. MIT Press. ISBN 9780262132954. OCLC 908983760.
Howlett, Joseph. "New Proofs Expand the Limits of What Cannot Be Known". Wired. ISSN 1059-1028. Retrieved 2025-03-14.