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Matematicheskie Zametki, 1996, Volume 59, Issue 1, Pages 81–94
DOI: https://doi.org/10.4213/mzm1696
(Mi mzm1696)
 

An analog of the generalized Hardy–Littlewood problem with almost prime numbers

Zh. V. Piyadina

Sterlitamak State Pedagogical Institute
References:
Abstract: We obtain an asymptotic formula for the number of solutions of the equation $m'-\varphi(u,v)=a$, where $m$ is an almost prime number, $\varphi(u,v)$ is a given binary quadratic form, and $a$ is an arbitrary fixed integer.
Received: 11.11.1994
English version:
Mathematical Notes, 1996, Volume 59, Issue 1, Pages 58–68
DOI: https://doi.org/10.1007/BF02312466
Bibliographic databases:
UDC: 517
Language: Russian
Citation: Zh. V. Piyadina, “An analog of the generalized Hardy–Littlewood problem with almost prime numbers”, Mat. Zametki, 59:1 (1996), 81–94; Math. Notes, 59:1 (1996), 58–68
Citation in format AMSBIB
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\by Zh.~V.~Piyadina
\paper An~analog of the generalized Hardy--Littlewood problem with almost prime numbers
\jour Mat. Zametki
\yr 1996
\vol 59
\issue 1
\pages 81--94
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\crossref{https://doi.org/10.4213/mzm1696}
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\zmath{https://zbmath.org/?q=an:0877.11053}
\transl
\jour Math. Notes
\yr 1996
\vol 59
\issue 1
\pages 58--68
\crossref{https://doi.org/10.1007/BF02312466}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996UP82900008}
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