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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 4(2), Pages 41–47
DOI: https://doi.org/10.18500/1816-9791-2013-13-4-41-47 (Mi isu458) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

On an additive problem with squarefree numbers

D. V. Goryashin

Moscow State University, Russia, 199991, Moscow, Leninskie Gory, 1
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DOI: https://doi.org/10.18500/1816-9791-2013-13-4-41-47
Abstract: An asymptotic formula for the number of representations of a positive integer $N$ in the form $q_1+q_2+[\alpha q_3]$ is obtained, where $q_1$, $q_2$, $q_3$ are squarefree numbers and $\alpha>1$ is a fixed irrational algebraic number.
Key words: ternary problem, squarefree numbers, asymptotic formula.
Bibliographic databases:
Document Type: Article
UDC: 511.34
Language: Russian
Citation: D. V. Goryashin, “On an additive problem with squarefree numbers”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(2) (2013), 41–47
Citation in format AMSBIB
\Bibitem{Gor13}
\by D.~V.~Goryashin
\paper On an additive problem with squarefree numbers
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 4(2)
\pages 41--47
\mathnet{http://mi.mathnet.ru/isu458}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-4-41-47}
\elib{https://elibrary.ru/item.asp?id=21976900}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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