On Prime Values of Some Quadratic Polynomials

The problem on the prime values of polynomials in one variable with rational integral coefficients has been solved, up to now, only for the polynomials of degree one by the famous Dirichlet theorem on prime numbers in arithmetic progressions. In this paper, we start studying properties of prime numb...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2015-06, Vol.207 (6), p.803-807
1. Verfasser: Andrianov, A. N.
Format: Artikel
Sprache:eng
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Zusammenfassung:The problem on the prime values of polynomials in one variable with rational integral coefficients has been solved, up to now, only for the polynomials of degree one by the famous Dirichlet theorem on prime numbers in arithmetic progressions. In this paper, we start studying properties of prime numbers represented by certain polynomials of degree two. Bibliography: 2 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-015-2403-8