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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 254, Pages 56–64 (Mi znsl888)  

On exceptional integers for binary quadratic forms

E. P. Golubeva

St. Petersburg State University of Telecommunications
Abstract: An integer $m$ is said to be exceptional for a binary quadratic form $\varphi$ if m is representable by a form from the genus of $\varphi$ but not by the form $\varphi$ itself. An asymptotic distribution law for exceptional integers is proved.
Received: 18.11.1998
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 105, Issue 4, Pages 2148–2155
DOI: https://doi.org/10.1023/A:1011372923608
Bibliographic databases:
UDC: 511.512
Language: Russian
Citation: E. P. Golubeva, “On exceptional integers for binary quadratic forms”, Analytical theory of numbers and theory of functions. Part 15, Zap. Nauchn. Sem. POMI, 254, POMI, St. Petersburg, 1998, 56–64; J. Math. Sci. (New York), 105:4 (2001), 2148–2155
Citation in format AMSBIB
\Bibitem{Gol98}
\by E.~P.~Golubeva
\paper On exceptional integers for binary quadratic forms
\inbook Analytical theory of numbers and theory of functions. Part~15
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 254
\pages 56--64
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl888}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691396}
\zmath{https://zbmath.org/?q=an:0984.11018}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 105
\issue 4
\pages 2148--2155
\crossref{https://doi.org/10.1023/A:1011372923608}
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