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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 94, Pages 50–69
(Mi znsl1804)
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This article is cited in 12 scientific papers (total in 12 papers)
Hilbert symbol in a discrete valuated field
S. V. Vostokov
Abstract:
In a complete discrete valuated field of characteristic zero with perfect residue field of prime characteristic a pairing with values in the group of primary elements is defined. It is proved that this pairing agrees with the Hilbert norm residue symbol and therefore provides an explicit formula for the latter.
Citation:
S. V. Vostokov, “Hilbert symbol in a discrete valuated field”, Rings and modules. Part 2, Zap. Nauchn. Sem. LOMI, 94, "Nauka", Leningrad. Otdel., Leningrad, 1979, 50–69; J. Soviet Math., 19:1 (1982), 1006–1019
Linking options:
https://www.mathnet.ru/eng/znsl1804 https://www.mathnet.ru/eng/znsl/v94/p50
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Abstract page: | 284 | Full-text PDF : | 122 |
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