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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

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


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.

UDC: 511

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

Received: 14.09.1983


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

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