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| dc.contributor | Dieulefait, L. V. (Luis Victor) | |
| dc.creator | Madrid Gómez, Jaime | |
| dc.date | 2018-05-25T08:37:38Z | |
| dc.date | 2018-05-25T08:37:38Z | |
| dc.date | 2018-01-19 | |
| dc.date.accessioned | 2024-12-16T10:26:27Z | |
| dc.date.available | 2024-12-16T10:26:27Z | |
| dc.identifier | http://hdl.handle.net/2445/122571 | |
| dc.identifier.uri | http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/21103 | |
| dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Luis Victor Dieulefait | |
| dc.description | [en] In number theory, Waring’s problem (1770) asks whether for each natural number k exists an associated positive integer $s(k)$ such that every natural number is the sum of at most s natural numbers to the power of $k$. The statement was proved by Hilbert in 1909. We present an overview of Hilbert-Waring theorem. First, we introduce the modern notation and find several lower and upper bounds using elementary methods. Next, we offer a proof of the theorem based on Schnirelmann’s density. Finally, we summarize the current state of the problem. | |
| dc.format | 45 p. | |
| dc.format | application/pdf | |
| dc.language | spa | |
| dc.rights | cc-by-nc-nd (c) Jaime Madrid Gómez, 2018 | |
| 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 naturals | |
| dc.subject | Teoria de nombres | |
| dc.subject | Cub | |
| dc.subject | Treballs de fi de grau | |
| dc.subject | Natural numbers | |
| dc.subject | Number theory | |
| dc.subject | Cube | |
| dc.subject | Bachelor's theses | |
| dc.title | Teorema de Waring | |
| dc.type | info:eu-repo/semantics/bachelorThesis |
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