Geodesic
A relationship between the Hilbert and Witt symbols
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 4, Tome 227 (1995), pp. 45-51 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the present paper a relationship is established between explicit formulas for the Hilbert symbol in a local field of characteristic zero and the Witt formulas in a local field of finite characteristic. The results obtained are formulated. As an application, the Artin–Hasse formulas are proved. Bibliography: 7 titles. 
@article{ZNSL_1995_227_a5,
     author = {S. V. Vostokov and A. N. Gurevich},
     title = {A relationship between the {Hilbert} and {Witt} symbols},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {45--51},
     year = {1995},
     volume = {227},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_227_a5/}
}
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S. V. Vostokov; A. N. Gurevich. A relationship between the Hilbert and Witt symbols. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 4, Tome 227 (1995), pp. 45-51. http://geodesic.mathdoc.fr/item/ZNSL_1995_227_a5/