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Zapiski Nauchnykh Seminarov LOMI, 1977, Volume 68, Pages 62–82 (Mi znsl2002)  
This article is cited in 17 scientific papers (total in 17 papers)

Primes are nonnegative values of a polynomial in 10 variables

Yu. V. Matiyasevich
Full-text PDF (696 kB) Citations (17)
Abstract: A polynomial with integer coefficients of 10 variables is constructed, whose set of all nonnegative values (for positive integer values of the variables) is precisely the set of all prime numbers.
English version:
Journal of Soviet Mathematics, 1981, Volume 15, Issue 1, Pages 33–44
DOI: https://doi.org/10.1007/BF01404106
Bibliographic databases:
UDC: 511
Language: Russian
Citation: Yu. V. Matiyasevich, “Primes are nonnegative values of a polynomial in 10 variables”, Theoretical application of methods of mathematical logic. Part II, Zap. Nauchn. Sem. LOMI, 68, "Nauka", Leningrad. Otdel., Leningrad, 1977, 62–82; J. Soviet Math., 15:1 (1981), 33–44
Citation in format AMSBIB
\Bibitem{Mat77}
\by Yu.~V.~Matiyasevich
\paper Primes are nonnegative values of a polynomial in 10 variables
\inbook Theoretical application of methods of mathematical logic. Part~II
\serial Zap. Nauchn. Sem. LOMI
\yr 1977
\vol 68
\pages 62--82
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2002}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=505376}
\zmath{https://zbmath.org/?q=an:0446.10046|0357.10034}
\transl
\jour J. Soviet Math.
\yr 1981
\vol 15
\issue 1
\pages 33--44
\crossref{https://doi.org/10.1007/BF01404106}
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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