Prime Representing Polynomial with 10 Unknowns – Introduction. Part II

Pąk, Karol

doi:10.2478/forma-2022-0020

References

[1] Marcin Acewicz and Karol Pąk. Pell’s equation. Formalized Mathematics, 25(3):197–204, 2017. doi:10.1515/forma-2017-0019.
Open DOI Search in Google Scholar Back to article
[2] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pąk, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-8_17.
Open DOI Search in Google Scholar Back to article
[3] Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6.604425130069070
Open DOI Search in Google Scholar Back to article
[4] James P. Jones, Sato Daihachiro, Hideo Wada, and Douglas Wiens. Diophantine representation of the set of prime numbers. The American Mathematical Monthly, 83(6):449–464, 1976.10.1080/00029890.1976.11994142
Search in Google Scholar Back to article
[5] Yuri Matiyasevich. Primes are nonnegative values of a polynomial in 10 variables. Journal of Soviet Mathematics, 15:33–44, 1981. doi:10.1007/BF01404106.
Open DOI Search in Google Scholar Back to article
[6] Karol Pąk. The Matiyasevich theorem. Preliminaries. Formalized Mathematics, 25(4): 315–322, 2017. doi:10.1515/forma-2017-0029.
Open DOI Search in Google Scholar Back to article
[7] Karol Pąk. Prime representing polynomial. Formalized Mathematics, 29(4):221–228, 2021. doi:10.2478/forma-2021-0020.
Open DOI Search in Google Scholar Back to article
[8] Karol Pąk and Cezary Kaliszyk. Formalizing a diophantine representation of the set of prime numbers. In June Andronick and Leonardo de Moura, editors, 13th International Conference on Interactive Theorem Proving, ITP 2022, August 7-10, 2022, Haifa, Israel, volume 237 of LIPIcs, pages 26:1–26:8. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. doi:10.4230/LIPIcs.ITP.2022.26.
Open DOI Search in Google Scholar Back to article
[9] Marco Riccardi. The perfect number theorem and Wilson’s theorem. Formalized Mathematics, 17(2):123–128, 2009. doi:10.2478/v10037-009-0013-y.
Open DOI Search in Google Scholar Back to article
[10] Zhi-Wei Sun. Further results on Hilbert’s Tenth Problem. Science China Mathematics, 64:281–306, 2021. doi:10.1007/s11425-020-1813-5.
Open DOI Search in Google Scholar Back to article

Prime Representing Polynomial with 10 Unknowns – Introduction. Part II

References

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