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| Titel: | P-adic analysis, arithmetic and singularities |
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| Titelzusatz: | UIMP-RSME Lluís A. Santaló Summer School, p-adic Analysis, Arithmetic and Singularities, June 24-28, 2019, Universidad Internacional Menéndez Pelayo, Santander, Spain |
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| Mitwirkende: | Galindo, Carlos [HerausgeberIn]  |
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| | Melle Hernández, Alejandro [HerausgeberIn] |
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| | Moyano-Fernández, Julio José [HerausgeberIn] |
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| | Zúñiga-Galindo, Wilson A. [HerausgeberIn] |
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| Körperschaft: | UIMP-RSME Lluís A. Santaló Summer School <2019, Santander> [VerfasserIn] |
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| Verf.angabe: | Carlos Galindo, Alejandro Melle Hernández, Julio José Moyano-Fernández, Wilson A. Zúñiga-Galindo, editors |
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| Verlagsort: | Providence |
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| Verlag: | American Mathematical Society |
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| E-Jahr: | 2022 |
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| Jahr: | [2022] |
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| Umfang: | 1 Online-Ressource (xv, 311 Seiten) |
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| Illustrationen: | Illustrationen |
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| Gesamttitel/Reihe: | Contemporary mathematics ; volume 778 |
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| Fussnoten: | Description based on publisher supplied metadata and other sources |
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| ISBN: | 978-1-4704-6976-4 |
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| Abstract: | This volume contains the proceedings of the 2019 Lluís A. Santaló Summer School on p-Adic Analysis, Arithmetic and Singularities, which was held from June 24-28, 2019, at the Universidad Internacional Menéndez Pelayo, Santander, Spain.The main purpose of the book is to present and analyze different incarnations of the local zeta functions and their multiple connections in mathematics and theoretical physics. Local zeta functions are ubiquitous objects in mathematics and theoretical physics. At the mathematical level, local zeta functions contain geometry and arithmetic information about the set of zeros defined by a finite number of polynomials. In terms of applications in theoretical physics, these functions play a central role in the regularization of Feynman amplitudes and Koba-Nielsen-type string amplitudes, among other applications.This volume provides a gentle introduction to a very active area of research that lies at the intersection of number theory, p-adic analysis, algebraic geometry, singularity theory, and theoretical physics. Specifically, the book introduces p-adic analysis, the theory of Archimedean, p-adic, and motivic zeta functions, singularities of plane curves and their Poincaré series, among other similar topics. It also contains original contributions in the aforementioned areas written by renowned specialists.This book is an important reference for students and experts who want to delve quickly into the area of local zeta functions and their many connections in mathematics and theoretical physics. |
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| URL: | Aggregator: https://ebookcentral.proquest.com/lib/kxp/detail.action?docID=7015907 |
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| Schlagwörter: | (s)p-adische Analysis / (s)Singularität <Mathematik> |
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| Datenträger: | Online-Ressource |
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| Dokumenttyp: | Konferenzschrift: (2019 : Santander) |
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| Sprache: | eng |
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| Bibliogr. Hinweis: | Erscheint auch als : Druck-Ausgabe: UIMP-RSME Lluís A. Santaló Summer School (2019 : Santander): P-adic analysis, arithmetic and singularities. - Providence : American Mathematical Society, 2022. - xv, 311 Seiten |
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| Sach-SW: | Electronic books |
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| K10plus-PPN: | 1808313356 |
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| Verknüpfungen: | → Übergeordnete Aufnahme |
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| Lokale URL UB: |  Zum Volltext |
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P-adic analysis, arithmetic and singularities / Galindo, Carlos [HerausgeberIn]; [2022] (Online-Ressource)