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Sbornik: Mathematics, 2013, Volume 204, Issue 6, Pages 781–800
DOI: https://doi.org/10.1070/SM2013v204n06ABEH004320 (Mi sm8205) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Shafarevich's paper “A general reciprocity law”

S. V. Vostokov

St. Petersburg State University, Department of Mathematics and Mechanics
English version PDF (408 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM2013v204n06ABEH004320
Abstract: A new method for calculating an explicit form of the Hilbert pairing is proposed. It is used to calculate the Hilbert pairing in a classical local field and in a complete higher-dimensional field.
Bibliography: 25 titles.
Keywords: explicit reciprocity laws, complete higher-dimensional fields, topological $K$-groups.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-33057
Received: 25.12.2012
Russian version:
Matematicheskii Sbornik, 2013, Volume 204, Number 6, Pages 3–22
DOI: https://doi.org/10.4213/sm8205
Bibliographic databases:
Document Type: Article
UDC: 517.538
MSC: Primary 11S70; Secondary 11S15, 19D45
Language: English
Original paper language: Russian
Citation: S. V. Vostokov, “Shafarevich's paper “A general reciprocity law””, Mat. Sb., 204:6 (2013), 3–22; Sb. Math., 204:6 (2013), 781–800
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2013v204n06ABEH004320
  • https://www.mathnet.ru/eng/sm/v204/i6/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
    		Математический сборник Sbornik: Mathematics
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    Abstract page:880
    Russian version PDF:260
    English version PDF:24
    References:88
    First page:84
     
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