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.
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/
@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},
year = {2013},
volume = {14},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_1_a4/}
}
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