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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 303, Pages 169–185
DOI: https://doi.org/10.1134/S0371968518040131 (Mi tm3949) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Divisors of a quadratic form with primes

M. A. Korolev

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Full-text PDF (256 kB) Citations (4)
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DOI: https://doi.org/10.1134/S0371968518040131
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.
Received: January 24, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 303, Pages 154–170
DOI: https://doi.org/10.1134/S0081543818080138
Bibliographic databases:
Document Type: Article
UDC: 511.331
Language: Russian
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, Trudy Mat. Inst. Steklova, 303, MAIK Nauka/Interperiodica, Moscow, 2018, 169–185; Proc. Steklov Inst. Math., 303 (2018), 154–170
Citation in format AMSBIB
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\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 Trudy Mat. Inst. Steklova
\yr 2018
\vol 303
\pages 169--185
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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