Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 29, Tome 429 (2014), pp. 5-10
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A. N. Andrianov. On prime values of some quadratic polynomials. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 29, Tome 429 (2014), pp. 5-10. http://geodesic.mathdoc.fr/item/ZNSL_2014_429_a0/
@article{ZNSL_2014_429_a0,
author = {A. N. Andrianov},
title = {On prime values of some quadratic polynomials},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {5--10},
year = {2014},
volume = {429},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_429_a0/}
}
TY - JOUR
AU - A. N. Andrianov
TI - On prime values of some quadratic polynomials
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2014
SP - 5
EP - 10
VL - 429
UR - http://geodesic.mathdoc.fr/item/ZNSL_2014_429_a0/
LA - en
ID - ZNSL_2014_429_a0
ER -
%0 Journal Article
%A A. N. Andrianov
%T On prime values of some quadratic polynomials
%J Zapiski Nauchnykh Seminarov POMI
%D 2014
%P 5-10
%V 429
%U http://geodesic.mathdoc.fr/item/ZNSL_2014_429_a0/
%G en
%F ZNSL_2014_429_a0
The problem on prime values of polynomials in one variable with rational integral coefficients is solved up to now only for the polynomials of degree one by famous Dirichlet theorem on prime numbers in arithmetical progressions. In this paper we start to study properties of prime numbers represented by certain polynomials of degree two.
[1] A. N. Andrianov, “Representations of integers by some quadratic forms in connection with the theory of elliptic curves”, Izv. Akad. Nauk SSSR, Ser. mat., 29:1 (1965), 227–238 | MR | Zbl
[2] I. M. Vinogradov, Basic Number Theory, Nauka, M., 1981 | MR
