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Matematicheskie Zametki, 2005, Volume 77, Issue 1, Pages 141–151
DOI: https://doi.org/10.4213/mzm2479 (Mi mzm2479) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Hilbert and Hilbert–Samuel polynomials and partial differential equations

A. G. Khovanskiia, S. P. Chulkovbc

a Institute of Systems Analysis, Russian Academy of Sciences
b M. V. Lomonosov Moscow State University
c Independent University of Moscow
Full-text PDF (223 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm2479
Abstract: Systems of linear partial differential equations with constant coefficients are considered. The spaces of formal and analytic solutions of such systems are described by algebraic methods. The Hilbert and Hilbert–Samuel polynomials for systems of partial differential equations are defined.
Received: 01.09.2003
English version:
Mathematical Notes, 2005, Volume 77, Issue 1, Pages 130–139
DOI: https://doi.org/10.1007/s11006-005-0013-3
Bibliographic databases:
UDC: 517.95+512.7
Language: Russian
Citation: A. G. Khovanskii, S. P. Chulkov, “Hilbert and Hilbert–Samuel polynomials and partial differential equations”, Mat. Zametki, 77:1 (2005), 141–151; Math. Notes, 77:1 (2005), 130–139
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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