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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2013 Volume 14, Issue 1, Pages 56–60 (Mi cheb257)

This article is cited 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.

UDC: 511.3

Received: 09.03.2013



© Steklov Math. Inst. of RAS, 2025