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 Tr. Mat. Inst. Steklova, 2018, Volume 303, Pages 169–185 (Mi tm3949)

Divisors of a quadratic form with primes

M. A. Korolev

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: We obtain an asymptotic formula for the average number of divisors of the quadratic form $\mathcal A(x,y,z) = xy+xz+yz$, where $x$, $y$, and $z$ run through prime numbers from the interval $X<x,y,z\le 2X$.

 Funding Agency Grant Number Russian Science Foundation 14-50-00005 This work is supported by the Russian Science Foundation under grant 14-50-00005.

DOI: https://doi.org/10.1134/S0371968518040131

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English version:
Proceedings of the Steklov Institute of Mathematics, 2018, 303, 154–170

Bibliographic databases:

UDC: 511.331

Citation: M. A. Korolev, “Divisors of a quadratic form with primes”, Harmonic analysis, approximation theory, and number theory, Collected papers. Dedicated to Academician Sergei Vladimirovich Konyagin on the occasion of his 60th birthday, Tr. Mat. Inst. Steklova, 303, MAIK Nauka/Interperiodica, Moscow, 2018, 169–185; Proc. Steklov Inst. Math., 303 (2018), 154–170

Citation in format AMSBIB
\Bibitem{Kor18} \by M.~A.~Korolev \paper Divisors of a quadratic form with primes \inbook Harmonic analysis, approximation theory, and number theory \bookinfo Collected papers. Dedicated to Academician Sergei Vladimirovich Konyagin on the occasion of his 60th birthday \serial Tr. Mat. Inst. Steklova \yr 2018 \vol 303 \pages 169--185 \publ MAIK Nauka/Interperiodica \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm3949} \crossref{https://doi.org/10.1134/S0371968518040131} \elib{http://elibrary.ru/item.asp?id=37045259} \transl \jour Proc. Steklov Inst. Math. \yr 2018 \vol 303 \pages 154--170 \crossref{https://doi.org/10.1134/S0081543818080138} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000460475900013} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85062542933} 

• http://mi.mathnet.ru/eng/tm3949
• https://doi.org/10.1134/S0371968518040131
• http://mi.mathnet.ru/eng/tm/v303/p169

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