Results 181 to 190 of about 508,252 (212)

A relationship between the Hilbert and Witt symbols

Journal of Mathematical Sciences, 1998
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S V Vostokov, Vostokov S V
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Hilbert symbol in a discrete valuated field

Journal of Soviet Mathematics, 1982
In a complete discrete valuated field of characteristic zero with perfect residue field of prime characteristic a pairing with values in the group of primary elements is defined. It is proved that this pairing agrees with the Hilbert norm residue symbol and therefore provides an explicit formula for the latter.
S. Vostokov
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Higher degree tame hilbert-symbol equivalence of number fields

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1999
The main aim of the paper is to give necessary and sufficient conditions for the tame degree \(\ell\) Hilbert-symbol equivalence of two number fields \(K\) and \(L\) where \(\ell\) is an odd prime. The conditions are expressed in terms of the classical invariants, and are similar to those given in the author's paper [Acta Arith.
A. Czogala
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Hilbert’s ε-Symbol in the Presence of Generalized Quantifiers

1995
The so called Hilbert’s e-symbol transforms a formula φ(x) in a term ex φ(x) with the intended meaning: “some x such that φ(x), if such x exists, an arbitrary individual, otherwise”.
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On a norm property of Hilbert symbol over polynomial formal module in multidimensional local field

St Petersburg University Vestnik Mathematics, 2016
V. Volkov
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Hilbert Symbol

, 1973
Jean-Pierre Serre
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The Hilbert Symbol in Higher-Dimensional Local Fields for Formal Lubin–Tate Groups. II

Journal of Mathematical Sciences, 2014
S. S. Afanas’eva
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Explicit formulae for the Hilbert symbol of a formal group over the Witt vectors

Izvestiya Mathematics, 1997
V. Abrashkin
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Generalized Artin–Hasse and Iwasawa Formulas for the Hilbert Symbol in a High-Dimensional Local Field

Journal of Mathematical Sciences, 2004
A. Zinoviev
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Hilbert's Axiomatics as ‘Symbolic Form’?

Perspectives on Science, 2014
According to Ernst Cassirer, symbolic forms “are not different modes in which an independent reality manifests itself to the human spirit but roads which the spirit proceeds towards its objectivization, i.e., its self-revelation” (1923, p. 78). Can Hilbert's axiomatics be viewed as a symbolic form?
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