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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 1, Pages 104–106
DOI: https://doi.org/10.17377/smzh.2017.58.111 (Mi smj2844) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Riemann–Roch theorem for the Dynnikov–Novikov discrete complex analysis

D. V. Egorov

Institute of Mathematics and Information Science, Ammosov North-Eastern Federal University, Yakutsk, Russia
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DOI: https://doi.org/10.17377/smzh.2017.58.111
Abstract: We prove an analog of the Riemann–Roch theorem for the Dynnikov–Novikov discrete complex analysis.
Keywords: discrete holomorphic function, discrete Riemann–Roch theorem.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-4382.2014.1
Dynasty Foundation
The author was partially supported by the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant NSh-4382.2014.1) and a fellowship for young scientists of the Dynasty Foundation.
Received: 03.05.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 1, Pages 78–79
DOI: https://doi.org/10.1134/S0037446617010116
Bibliographic databases:
Document Type: Article
UDC: 517.962.22+517.547.9
MSC: 35R30
Language: Russian
Citation: D. V. Egorov, “The Riemann–Roch theorem for the Dynnikov–Novikov discrete complex analysis”, Sibirsk. Mat. Zh., 58:1 (2017), 104–106; Siberian Math. J., 58:1 (2017), 78–79
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/smj/v58/i1/p104
    • This publication is cited in the following 1 articles:
    1. I. A. Dynnikov, “Bounded discrete holomorphic functions on the hyperbolic plane”, Proc. Steklov Inst. Math., 302 (2018), 186–197  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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