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This article is cited in 1 scientific paper (total in 1 paper)
To the distribution of prime numbers in the polynomials of second degree with integer coefficients
I. I. Illyssov Aktobe State University after K. Zhubanov
Abstract:
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.
Received: 09.03.2013
Citation:
I. I. Illyssov, “To the distribution of prime numbers in the polynomials of second degree with integer coefficients”, Chebyshevskii Sb., 14:1 (2013), 56–60
Linking options:
https://www.mathnet.ru/eng/cheb257 https://www.mathnet.ru/eng/cheb/v14/i1/p56
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Abstract page: | 201 | Full-text PDF : | 89 | References: | 51 | First page: | 1 |
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