Norm Series in High-Dimensional Local Fields |
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Authors: | S. V. Vostokov G. K. Pak |
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Affiliation: | (1) St. Petersburg State University, St. Petersburg, Russia |
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Abstract: | In the present paper, the notion of norm series with respect to the norm residue symbol is generalized to high-dimensional local fields. Necessary and sufficient conditions for the existence of norm series are obtained. Bibliography: 12 titles.__________Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 305, 2003, pp. 60–83. |
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