Rational places in extensions and sequences of function fields of Kummer type
In this paper we prove results on the number of rational places in extensions of Kummer type over finite fields and give sufficient conditions for non-trivial lower bounds on the number of rational places at each step of sequences of function fields over a finite field, that we call $(a,b)$-se...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2011 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/84085 |
| Acceso en línea: | http://hdl.handle.net/11336/84085 |
| Access Level: | acceso abierto |
| Palabra clave: | Function Fields Finite Fields Towers Rational Places https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In this paper we prove results on the number of rational places in extensions of Kummer type over finite fields and give sufficient conditions for non-trivial lower bounds on the number of rational places at each step of sequences of function fields over a finite field, that we call $(a,b)$-sequences. In the case of a prime field, we apply these results to the study of rational places in certain sequences of function fields of Kummer type. |
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