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p-adic numbers and non-Archimedean valuations Corrales Rodrigáñez, Carmen Fainsilber, Laura Hobbs, Catherine 511 Teoría de números 1205 Teoría de Números Proceedings of the 8th General Meeting (EWM’97) held in Trieste, December 12–17, 1997. 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. Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T21:04:26Z 2023-06-20T21:04:26Z 1999 book part https://hdl.handle.net/20.500.14352/60621 XXXX-XXXX metadata only access Hindawi Publishing Corporation