Abstract:
Sufficient conditions of representability of a given integer by a fixed binary quadratic form are presented. It is shown that almost all integers satisfy these conditions. Bibl. 2 titles.
Citation:
E. P. Golubeva, “On the representation of large integers by binary quadratic forms”, Analytical theory of numbers and theory of functions. Part 13, Zap. Nauchn. Sem. POMI, 226, POMI, St. Petersburg, 1996, 60–64; J. Math. Sci. (New York), 89:1 (1998), 951–954
\Bibitem{Gol96}
\by E.~P.~Golubeva
\paper On the representation of large integers by binary quadratic forms
\inbook Analytical theory of numbers and theory of functions. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 226
\pages 60--64
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3720}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1433347}
\zmath{https://zbmath.org/?q=an:0898.11011|0889.11012}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 89
\issue 1
\pages 951--954
\crossref{https://doi.org/10.1007/BF02358531}
Linking options:
https://www.mathnet.ru/eng/znsl3720
https://www.mathnet.ru/eng/znsl/v226/p60
This publication is cited in the following 1 articles:
Jean Bourgain, Elena Fuchs, “On Representation of Integers by Binary Quadratic Forms”, International Mathematics Research Notices, 2012:24 (2012), 5505
Citation in format AMSBIB
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