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Mathematics of the USSR-Izvestiya, 1982, Volume 19, Issue 3, Pages 611–641
DOI: https://doi.org/10.1070/IM1982v019n03ABEH001429 (Mi im1717) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the exceptional set for the sum of a prime and a perfect square

I. V. Polyakov
English version PDF (1313 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM1982v019n03ABEH001429
Abstract: A new theorem is obtained on the mean value of the number of representations of natural numbers $n$ as the sum of a prime and a perfect square, from which it is deduced that there are at most $Ne^{-a\sqrt{\log N}}$, $a>0$, natural numbers $n\leqslant N$ not representable as such a sum.
Bibliography: 17 titles.
Received: 28.05.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1981, Volume 45, Issue 6, Pages 1391–1423
Bibliographic databases:
UDC: 511.2
MSC: Primary 10J15; Secondary 10G10, 10H08, 10H32
Language: English
Original paper language: Russian
Citation: I. V. Polyakov, “On the exceptional set for the sum of a prime and a perfect square”, Izv. Akad. Nauk SSSR Ser. Mat., 45:6 (1981), 1391–1423; Math. USSR-Izv., 19:3 (1982), 611–641
Citation in format AMSBIB
\Bibitem{Pol81}
\by I.~V.~Polyakov
\paper On~the exceptional set for the sum of a~prime and a~perfect square
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1981
\vol 45
\issue 6
\pages 1391--1423
\mathnet{http://mi.mathnet.ru/im1717}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=641805}
\zmath{https://zbmath.org/?q=an:0501.10049|0478.10033}
\transl
\jour Math. USSR-Izv.
\yr 1982
\vol 19
\issue 3
\pages 611--641
\crossref{https://doi.org/10.1070/IM1982v019n03ABEH001429}
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  • https://www.mathnet.ru/eng/im/v45/i6/p1391
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:295
    Russian version PDF:102
    English version PDF:15
    References:59
    First page:1
     
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