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Els nombres p-àdics i la funció zeta p-àdica

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dc.contributor Guitart Morales, Xavier
dc.creator Alonso Aparcio, Joan Andreu
dc.date 2017-06-28T07:32:46Z
dc.date 2017-06-28T07:32:46Z
dc.date 2017-02-01
dc.date.accessioned 2024-12-16T10:24:33Z
dc.date.available 2024-12-16T10:24:33Z
dc.identifier http://hdl.handle.net/2445/112982
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/17898
dc.description Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Xavier Guitart Morales, 2017
dc.description 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.
dc.format 35 p.
dc.format application/pdf
dc.language cat
dc.rights cc-by-nc-nd (c) Joan Andreu Alonso Aparicio, 2017
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Matemàtiques
dc.subject Nombres p-àdics
dc.subject Treballs de fi de grau
dc.subject Nombres racionals
dc.subject Funcions zeta
dc.subject p-adic numbers
dc.subject Bachelor's theses
dc.subject Rational numbers
dc.subject Zeta functions
dc.title Els nombres p-àdics i la funció zeta p-àdica
dc.type info:eu-repo/semantics/bachelorThesis


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