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Matematicheskie Zametki, 2022, Volume 111, Issue 5, Pages 726–737
DOI: https://doi.org/10.4213/mzm13344 (Mi mzm13344) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Form with Congruential Condition

U. M. Pachevab, L. A. Khalilovaa

a Kabardino-Balkar State University, Nal'chik
b North-Caucasus Federal University
Full-text PDF (493 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm13344
Abstract: Asymptotic formulas with remainder for the number of representations of a pair of integers by quadratic and linear forms with a congruential condition are proved.
Keywords: Diophantine system with quadratic and linear forms, congruential condition, joint invariant, asymptotic formula.
Received: 02.11.2021
Published: 23.04.2022
English version:
Mathematical Notes, 2022, Volume 111, Issue 5, Pages 736–746
DOI: https://doi.org/10.1134/S0001434622050078
Bibliographic databases:
Document Type: Article
UDC: 511.512
Language: Russian
Citation: U. M. Pachev, L. A. Khalilova, “On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Form with Congruential Condition”, Mat. Zametki, 111:5 (2022), 726–737; Math. Notes, 111:5 (2022), 736–746
Citation in format AMSBIB
\Bibitem{PacKha22}
\by U.~M.~Pachev, L.~A.~Khalilova
\paper On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Form with Congruential Condition
\jour Mat. Zametki
\yr 2022
\vol 111
\issue 5
\pages 726--737
\mathnet{http://mi.mathnet.ru/mzm13344}
\crossref{https://doi.org/10.4213/mzm13344}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4461301}
\transl
\jour Math. Notes
\yr 2022
\vol 111
\issue 5
\pages 736--746
\crossref{https://doi.org/10.1134/S0001434622050078}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85132838697}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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