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Mathematics of the USSR-Sbornik, 1980, Volume 36, Issue 4, Pages 535–547
DOI: https://doi.org/10.1070/SM1980v036n04ABEH001861
(Mi sm2341)
 

This article is cited in 20 scientific papers (total in 20 papers)

Deficient divisors in the Valiron sense

A. S. Sadullaev
References:
Abstract: In this article the author proves that for any holomorphic mapping $f\colon\mathbf C^n\to\mathbf P^m$ the set
$$ E_V(f)=\biggl\{A\colon\varliminf_{r\to\infty}\frac{N_f(r,A)}{T_f(r)}<1\biggr\} $$
of hyperplanes deficient in the Valiron sense forms a polar set. This gives a positive answer to a question posed by Griffiths and King.
Bibliography: 16 titles.
Received: 16.10.1978
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1979, Volume 108(150), Number 4, Pages 567–580
Bibliographic databases:
UDC: 517.55+517.947.42
MSC: Primary 32H30; Secondary 31C10
Language: English
Original paper language: Russian
Citation: A. S. Sadullaev, “Deficient divisors in the Valiron sense”, Mat. Sb. (N.S.), 108(150):4 (1979), 567–580; Math. USSR-Sb., 36:4 (1980), 535–547
Citation in format AMSBIB
\Bibitem{Sad79}
\by A.~S.~Sadullaev
\paper Deficient divisors in the Valiron sense
\jour Mat. Sb. (N.S.)
\yr 1979
\vol 108(150)
\issue 4
\pages 567--580
\mathnet{http://mi.mathnet.ru/sm2341}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=534609}
\zmath{https://zbmath.org/?q=an:0443.32015}
\transl
\jour Math. USSR-Sb.
\yr 1980
\vol 36
\issue 4
\pages 535--547
\crossref{https://doi.org/10.1070/SM1980v036n04ABEH001861}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KM97000006}
Linking options:
  • https://www.mathnet.ru/eng/sm2341
  • https://doi.org/10.1070/SM1980v036n04ABEH001861
  • https://www.mathnet.ru/eng/sm/v150/i4/p567
  • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:293
    Russian version PDF:99
    English version PDF:10
    References:62
     
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