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Mathematics of the USSR-Izvestiya, 1985, Volume 25, Issue 3, Pages 551–572
DOI: https://doi.org/10.1070/IM1985v025n03ABEH001306 (Mi im1517) 		 
An asymptotic formula for the number of representations of a natural number by a pair of quadratic forms, the arguments of one of which are prime

V. A. Plaksin
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DOI: https://doi.org/10.1070/IM1985v025n03ABEH001306
Abstract: An asymptotic formula is established for the number of representations of a positive integer as a sum of two binary positive definite quadratic forms with integral coefficients, and the arguments of one of these forms are prime.
Bibliography: 14 titles.
Received: 14.09.1983
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1984, Volume 48, Issue 6, Pages 1245–1265
Bibliographic databases:
UDC: 511
MSC: Primary 10J15, 10J05; Secondary 10G10, 10G20
Language: English
Original paper language: Russian
Citation: V. A. Plaksin, “An asymptotic formula for the number of representations of a natural number by a pair of quadratic forms, the arguments of one of which are prime”, Izv. Akad. Nauk SSSR Ser. Mat., 48:6 (1984), 1245–1265; Math. USSR-Izv., 25:3 (1985), 551–572
Citation in format AMSBIB
\Bibitem{Pla84}
\by V.~A.~Plaksin
\paper An~asymptotic formula for the number of representations of a~natural number by a~pair of quadratic forms, the arguments of one of which are prime
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1984
\vol 48
\issue 6
\pages 1245--1265
\mathnet{http://mi.mathnet.ru/im1517}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=772115}
\zmath{https://zbmath.org/?q=an:0587.10027|0568.10028}
\transl
\jour Math. USSR-Izv.
\yr 1985
\vol 25
\issue 3
\pages 551--572
\crossref{https://doi.org/10.1070/IM1985v025n03ABEH001306}
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  • https://www.mathnet.ru/eng/im/v48/i6/p1245
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:275
    Russian version PDF:107
    English version PDF:11
    References:29
    First page:1
     
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