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Algebra i Analiz, 2016, Volume 28, Issue 6, Pages 147–188 (Mi aa1517)  
This article is cited in 2 scientific papers (total in 2 papers)

Research Papers

Extension of the Newton–Puiseux algorithm to the case of a nonzero characteristic ground field. I

A. L. Chistov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (393 kB) Citations (2)
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Abstract: The Newton–Puiseux algorithm for constructing roots of polynomials in the field of fractional power series is generalized to the case of a ground field of nonzero characteristic.
Keywords: Newton broken lines, nonzero characteristic of the ground field, generalization of the Newton-Puiseux expansions.
Received: 19.08.2016
English version:
St. Petersburg Mathematical Journal, 2017, Volume 28, Issue 6, Pages 825–853
DOI: https://doi.org/10.1090/spmj/1476
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. L. Chistov, “Extension of the Newton–Puiseux algorithm to the case of a nonzero characteristic ground field. I”, Algebra i Analiz, 28:6 (2016), 147–188; St. Petersburg Math. J., 28:6 (2017), 825–853
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/aa/v28/i6/p147
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    References:48
    First page:9
     
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