p-adic numbers and non-Archimedean valuations

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Corrales Rodrigáñez, Carmen (1999) p-adic numbers and non-Archimedean valuations. In European women inmathematics. Hindawi Publishing Corporation, Trieste, pp. 49-62. ISBN 977-5945-00-3



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.


Item Type:Book Section
Additional Information:

Proceedings of the 8th General Meeting (EWM’97) held in Trieste, December 12–17, 1997.

Subjects:Sciences > Mathematics > Number theory
ID Code:20287
Deposited On:07 Mar 2013 12:01
Last Modified:15 Jan 2016 15:05

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