Abstract
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.
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References
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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 227, 1995, pp. 45–51.
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Vostokov, S.V., Gurevich, A.N. A relationship between the Hilbert and Witt symbols. J Math Sci 89, 1108–1112 (1998). https://doi.org/10.1007/BF02355856
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DOI: https://doi.org/10.1007/BF02355856