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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 429, Pages 5–10 (Mi znsl6062)  
This article is cited in 1 scientific paper (total in 1 paper)

On prime values of some quadratic polynomials

A. N. Andrianov

St. Petersburg Department of the Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, 191023, St. Petersburg, Russia
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Abstract: The problem on prime values of polynomials in one variable with rational integral coefficients is solved up to now only for the polynomials of degree one by famous Dirichlet theorem on prime numbers in arithmetical progressions. In this paper we start to study properties of prime numbers represented by certain polynomials of degree two.
Key words and phrases: quadratic polynomials, sums of squares.
Received: 25.11.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 207, Issue 6, Pages 803–807
DOI: https://doi.org/10.1007/s10958-015-2403-8
Bibliographic databases:
Document Type: Article
UDC: 511
Language: English
Citation: A. N. Andrianov, “On prime values of some quadratic polynomials”, Analytical theory of numbers and theory of functions. Part 29, Zap. Nauchn. Sem. POMI, 429, POMI, St. Petersburg, 2014, 5–10; J. Math. Sci. (N. Y.), 207:6 (2015), 803–807
Citation in format AMSBIB
\Bibitem{And14}
\by A.~N.~Andrianov
\paper On prime values of some quadratic polynomials
\inbook Analytical theory of numbers and theory of functions. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 429
\pages 5--10
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6062}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 207
\issue 6
\pages 803--807
\crossref{https://doi.org/10.1007/s10958-015-2403-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949624770}
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  • https://www.mathnet.ru/eng/znsl/v429/p5
    Remarks
    This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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