Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/112982
Title: | Els nombres p-àdics i la funció zeta p-àdica |
Author: | Alonso Aparcio, Joan Andreu |
Director/Tutor: | Guitart Morales, Xavier |
Keywords: | Nombres p-àdics Treballs de fi de grau Nombres racionals Funcions zeta p-adic numbers Bachelor's theses 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 |
URI: | http://hdl.handle.net/2445/112982 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
memoria.pdf | Memòria | 346.42 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License