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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. POMI, 2003 Volume 305, Pages 60–83 (Mi znsl862)
This article is cited in 2 papers

Norm series in multidimensional local fields

S. V. Vostokov, G. K. Pak

Saint-Petersburg State University

Abstract: In the present paper, the notion of norm series with respect to the norm residue symbol is generalized to a multidimensional local field. Necessary and sufficient conditions for the existence of norm series are obtained.

UDC: 512.5

Received: 16.05.2003


 English version: Journal of Mathematical Sciences (New York), 2005, 130:3, 4675–4688

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