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Izvestiya: Mathematics, 2003, Volume 67, Issue 1, Pages 1–15
DOI: https://doi.org/10.1070/IM2003v067n01ABEH000415 (Mi im415) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Nilpotent operators and discretely concave functions

V. I. Danilov, G. A. Koshevoy
English version PDF (192 kB) Citations (3)
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DOI: https://doi.org/10.1070/IM2003v067n01ABEH000415
Abstract: Given a pair of submodules of a module over a discrete valuation ring, we construct a function of two integer variables. We show that this function is discretely concave and, conversely, every discretely concave function of two integer variables arises in this way.
Received: 10.09.2001
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2003, Volume 67, Issue 1, Pages 3–20
DOI: https://doi.org/10.4213/im415
Bibliographic databases:
UDC: 512
MSC: 30F30
Language: English
Original paper language: Russian
Citation: V. I. Danilov, G. A. Koshevoy, “Nilpotent operators and discretely concave functions”, Izv. Math., 67:1 (2003), 1–15
Citation in format AMSBIB
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\by V.~I.~Danilov, G.~A.~Koshevoy
\paper Nilpotent operators and discretely concave functions
\jour Izv. Math.
\yr 2003
\vol 67
\issue 1
\pages 1--15
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\crossref{https://doi.org/10.1070/IM2003v067n01ABEH000415}
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  • https://doi.org/10.1070/IM2003v067n01ABEH000415
  • https://www.mathnet.ru/eng/im/v67/i1/p3
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:587
    Russian version PDF:318
    English version PDF:20
    References:87
    First page:1
     
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