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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 2, Pages 73–82 (Mi uzku1119)  
This article is cited in 2 scientific papers (total in 2 papers)

Cauchy's integral theorem and classical reciprocity law

S. V. Vostokov, M. A. Ivanov

Department of Mathematics and Mechanics, St. Petersburg State University
Full-text PDF (248 kB) Citations (2)
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Abstract: The present paper gives explicit formulas for the local norm residue symbol and the product of power residue symbols. Using these formulas, a visible analogy can be made between the reciprocity law in the field of algebraic numbers and Cauchy's integral theorem from complex analysis.
Keywords: reciprocity law, norm residue symbol, Schnirelman integral.
Received: 10.02.2012
Document Type: Article
UDC: 512.626
Language: Russian
Citation: S. V. Vostokov, M. A. Ivanov, “Cauchy's integral theorem and classical reciprocity law”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154, no. 2, Kazan University, Kazan, 2012, 73–82
Citation in format AMSBIB
\Bibitem{VosIva12}
\by S.~V.~Vostokov, M.~A.~Ivanov
\paper Cauchy's integral theorem and classical reciprocity law
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2012
\vol 154
\issue 2
\pages 73--82
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1119}
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  • https://www.mathnet.ru/eng/uzku/v154/i2/p73
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
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