Corrales Rodrigáñez, CarmenFainsilber, LauraHobbs, Catherine2023-06-202023-06-201999https://hdl.handle.net/20.500.14352/60621Proceedings 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.p-adic numbers and non-Archimedean valuationsbook partmetadata only access511Teoría de números1205 Teoría de Números