To the distribution of prime numbers in the polynomials of second degree with integer coefficients
Čebyševskij sbornik, Tome 14 (2013) no. 1, pp. 56-60
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In this paper, we prove:
Theorem. Each volume $A>A'$ there are more $ \frac A{5\ln A}$ of polynomials of second degree with integer coefficients, senior coefficients are equal to two, each of which contains more $ \frac A{5\ln^{1+\varepsilon} A}$ simple ($\varepsilon>0$ — constant).
Keywords:
Prime numbers, the distribution of Prime numbers in the values of polynomials.
@article{CHEB_2013_14_1_a4,
author = {I. I. Illyssov},
title = {To the distribution of prime numbers in the polynomials of second degree with integer coefficients},
journal = {\v{C}eby\v{s}evskij sbornik},
pages = {56--60},
publisher = {mathdoc},
volume = {14},
number = {1},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_1_a4/}
}
TY - JOUR AU - I. I. Illyssov TI - To the distribution of prime numbers in the polynomials of second degree with integer coefficients JO - Čebyševskij sbornik PY - 2013 SP - 56 EP - 60 VL - 14 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CHEB_2013_14_1_a4/ LA - ru ID - CHEB_2013_14_1_a4 ER -
I. I. Illyssov. To the distribution of prime numbers in the polynomials of second degree with integer coefficients. Čebyševskij sbornik, Tome 14 (2013) no. 1, pp. 56-60. http://geodesic.mathdoc.fr/item/CHEB_2013_14_1_a4/