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p-adic numbers and non-Archimedean valuations

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Publication Date
1999
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Hindawi Publishing Corporation
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Abstract
This is an expository article on p-adic fields. It contains a historical introduction and a construction of the p-adic number field by completion for the p-adic distance overQ. The paper concludes with the Hasse-Minkowski theorem for quadratic forms and the definition of Henselian fields.
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Proceedings of the 8th General Meeting (EWM’97) held in Trieste, December 12–17, 1997.
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