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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 281, Pages 5–34
(Mi znsl1487)
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This article is cited in 8 scientific papers (total in 8 papers)
Hilbert symbol in a complete multidimensional field for an arbitrary prime number. Part I
T. B. Belyaeva, S. V. Vostokov Saint-Petersburg State University
Abstract:
In the first part of this article we discuss two different definitions of Hilbert symbol and prove their equivalence.
The second part is devoted to the detailed consideration of the one-dimensional case for an arbitrary prime number $p$ (odd as well as even).
At the end of the article we give the explicit formulas in the general case of a multidimensional local field for the both different and mixed characteristic cases for an arbitrary prime number.
Received: 25.04.2001
Citation:
T. B. Belyaeva, S. V. Vostokov, “Hilbert symbol in a complete multidimensional field for an arbitrary prime number. Part I”, Problems in the theory of representations of algebras and groups. Part 8, Zap. Nauchn. Sem. POMI, 281, POMI, St. Petersburg, 2001, 5–34; J. Math. Sci. (N. Y.), 120:4 (2004), 1483–1500
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https://www.mathnet.ru/eng/znsl1487 https://www.mathnet.ru/eng/znsl/v281/p5
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Abstract page: | 272 | Full-text PDF : | 110 |
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