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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 2, Pages 73–82
(Mi uzku1119)
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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
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
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
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https://www.mathnet.ru/eng/uzku1119 https://www.mathnet.ru/eng/uzku/v154/i2/p73
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Abstract page: | 581 | Full-text PDF : | 363 | References: | 63 |
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