Zapiski Nauchnykh Seminarov POMI, Theoretical application of methods of mathematical logic. Part II, Tome 68 (1977), pp. 62-82
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Yu. V. Matiyasevich. Primes are nonnegative values of a polynomial in 10 variables. Zapiski Nauchnykh Seminarov POMI, Theoretical application of methods of mathematical logic. Part II, Tome 68 (1977), pp. 62-82. http://geodesic.mathdoc.fr/item/ZNSL_1977_68_a6/
@article{ZNSL_1977_68_a6,
author = {Yu. V. Matiyasevich},
title = {Primes are nonnegative values of a polynomial in 10 variables},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {62--82},
year = {1977},
volume = {68},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_68_a6/}
}
TY - JOUR
AU - Yu. V. Matiyasevich
TI - Primes are nonnegative values of a polynomial in 10 variables
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1977
SP - 62
EP - 82
VL - 68
UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_68_a6/
LA - ru
ID - ZNSL_1977_68_a6
ER -
%0 Journal Article
%A Yu. V. Matiyasevich
%T Primes are nonnegative values of a polynomial in 10 variables
%J Zapiski Nauchnykh Seminarov POMI
%D 1977
%P 62-82
%V 68
%U http://geodesic.mathdoc.fr/item/ZNSL_1977_68_a6/
%G ru
%F ZNSL_1977_68_a6
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.