Hilbert's eleventh problem (the theory of quadratic forms over algebraic number fields) (Q2736247)
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scientific article; zbMATH DE number 1638533
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hilbert's eleventh problem (the theory of quadratic forms over algebraic number fields) |
scientific article; zbMATH DE number 1638533 |
Statements
29 August 2001
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Hilbert's 11th problem
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quadratic forms
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algebraic number fields
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local-global principle
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Hilbert's eleventh problem (the theory of quadratic forms over algebraic number fields) (English)
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Here we get a competent survey of the history and the current state of the research on the theory of quadratic forms over algebraic number fields (Hilbert's eleventh problem). Several local-global principles are described here and some counterexamples are given. The list of 62 references supplements the one given by \textit{O. T. O'Meara} [Proc. Symp. Pure Math. 28, 379-400 (1976; Zbl 0338.10021)].NEWLINENEWLINEFor the entire collection see [Zbl 0902.00028].
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