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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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\pages 147--188
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Linking options:
  • https://www.mathnet.ru/eng/aa1517
  • https://www.mathnet.ru/eng/aa/v28/i6/p147
    • This publication is cited in the following 2 articles:
    1. A. L. Chistov, “Effektivnaya otsenka kornei iz polya drobno-stepennykh ryadov zadannogo mnogochlena v nenulevoi kharakteristike”, Teoriya predstavlenii, dinamicheskie sistemy, kombinatornye metody. XXXI, Zap. nauchn. sem. POMI, 498, POMI, SPb., 2020, 55–63  mathnet
    2. A. L. Chistov, “On the estimation of coefficients of irreducible factors of polynomials over a field of formal power series in nonzero characteristic”, Dokl. Math., 100:3 (2019), 542–544  crossref  mathscinet  zmath  isi  scopus
    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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    Abstract page:330
    Full-text PDF :47
    References:60
    First page:9
     
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