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Title: Els nombres p-àdics i la funció zeta p-àdica
Author: Alonso Aparcio, Joan Andreu
Director: Guitart Morales, Xavier
Keywords: Nombres p-àdics
Nombres racionals
Funcions zeta
p-adic numbers
Rational numbers
Zeta functions
Issue Date: 1-Feb-2017
Abstract: We construct the field of p-adic numbers as the completion of the rational numbers with respect to the p-adic distance. We also give the definition of the p-adic $\zeta$ function: a function of a p-adic variable that interpolates the values of Riemann’s $\zeta$ function at negative integers, and which we construct using the theory of p-adic integration.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Xavier Guitart Morales, 2017
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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