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 Izv. Akad. Nauk SSSR Ser. Mat., 1984, Volume 48, Issue 6, Pages 1245–1265 (Mi izv1517)

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

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.

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English version:
Mathematics of the USSR-Izvestiya, 1985, 25:3, 551–572

Bibliographic databases:

UDC: 511
MSC: Primary 10J15, 10J05; Secondary 10G10, 10G20

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/izv1517} \mathscinet{http://www.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}