Fórmulas explícitas y cuerpos p-ádicos
| dc.contributor.advisor | Rodríguez Vega, John Jaime | spa |
| dc.contributor.author | Quintero Campo, José Andrés | spa |
| dc.date.accessioned | 2021-02-02T17:30:37Z | spa |
| dc.date.available | 2021-02-02T17:30:37Z | spa |
| dc.date.issued | 2020-08-19 | spa |
| dc.description.abstract | Explicit formulae has been extensively studied through the years, producing deep conections between number theory, harmonic analysis and commutative algebra, among other branches of mathematics. In this work we will be mainly insterested in reviewing the explicit formula of Haran, given an exposition from its conceptual bases and theoretical tools. | spa |
| dc.description.abstract | El estudio de la fórmulas explícitas ha sido abordado muy extensamente a lo largo de los años, produciendo como resultado profundas conexiones entre la teoría de números, el análisis armónico y el álgebra conmutativa, entre otras áreas de las matemáticas. En este trabajo estaremos principalmente interesados en revisar la fórmula explícita Haran, haciendo una exposición desde sus bases conceptuales y herramientas teóricas involucradas. | spa |
| dc.description.degreelevel | Maestría | spa |
| dc.format.extent | 62 | spa |
| dc.format.mimetype | application/pdf | spa |
| dc.identifier.uri | https://repositorio.unal.edu.co/handle/unal/79036 | |
| dc.language.iso | spa | spa |
| dc.publisher.branch | Universidad Nacional de Colombia - Sede Bogotá | spa |
| dc.publisher.department | Departamento de Matemáticas | spa |
| dc.publisher.program | Bogotá - Ciencias - Maestría en Ciencias - Matemáticas | spa |
| dc.relation.references | Rami Shakarchi, Elias M. Stein (2003). Complex analysis, Vol.2. of Princeton lectures in analysis 2. Princeton University Press. | spa |
| dc.relation.references | S. Haran (1990). Riesz potencials and explicit sums in arithmetic. Invent. Math., 101:697– 703. | spa |
| dc.relation.references | Shai Haran (1991). Index theory, potential theory, and the Riemann hypothesis. London Mathematical Society Lecture Note Series. Cambridge University Press. | spa |
| dc.relation.references | David Hilbert (1900). Über den zahlbegriff. Jahresbericht der Deutschen Mathematiker- Vereinigung, 8:180–183. | spa |
| dc.relation.references | Anatoly Kochubei (2001). Pseudo-Differential Equations and Stochastics over Non-Archimedean Fields. Marcel Dekker, Inc, New York. | spa |
| dc.relation.references | Carlos Moreno (2005). Advanced analytic number theory: L-functions. Mathematical Surveys and Monographs 115. American Mathematical Society, reprint edition. | spa |
| dc.relation.references | S. J. Patterson (1988). An introduction to the theory of the Riemann zeta-function. Cam- bridge studies in advanced mathematics 14. Cambridge University Press. | spa |
| dc.relation.references | Terence Tao. Tate’s proof of the functional equation. https://terrytao.wordpress. com/2008/07/27/tates-proof-of-the-functional-equation/, 2008. Accedido 07- 08-2020. | spa |
| dc.relation.references | André Weil (1952). Sur les “formules explicites” de la théorie des nombres premiers. Comm. Sém. Math. Univ. Lund [Medd. Lunds Univ. Mat. Sem.], 1952(Tome Supplémentaire):252–265. | spa |
| dc.rights | Derechos reservados - Universidad Nacional de Colombia | spa |
| dc.rights.accessrights | info:eu-repo/semantics/openAccess | spa |
| dc.rights.license | Atribución-SinDerivadas 4.0 Internacional | spa |
| dc.rights.spa | Acceso abierto | spa |
| dc.rights.uri | http://creativecommons.org/licenses/by-nd/4.0/ | spa |
| dc.subject.ddc | 510 - Matemáticas::519 - Probabilidades y matemáticas aplicadas | spa |
| dc.subject.proposal | Fórmulas explicitas | spa |
| dc.subject.proposal | Explicit formulae | eng |
| dc.subject.proposal | Función zeta | spa |
| dc.subject.proposal | Zeta function | eng |
| dc.subject.proposal | P-ádicos | spa |
| dc.subject.proposal | P-adic | eng |
| dc.subject.proposal | Adeles | eng |
| dc.subject.proposal | Adeles | spa |
| dc.subject.proposal | Núcleo de Riesz | spa |
| dc.subject.proposal | Riesz kernel | eng |
| dc.title | Fórmulas explícitas y cuerpos p-ádicos | spa |
| dc.type | Trabajo de grado - Maestría | spa |
| dc.type.coar | http://purl.org/coar/resource_type/c_bdcc | spa |
| dc.type.coarversion | http://purl.org/coar/version/c_ab4af688f83e57aa | spa |
| dc.type.content | Text | spa |
| dc.type.driver | info:eu-repo/semantics/masterThesis | spa |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | spa |
| oaire.accessrights | http://purl.org/coar/access_right/c_abf2 | spa |