Rational places in extensions and sequences of function fields of Kummer type |
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Authors: | M. Chara |
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Affiliation: | a IMAL-UNL-CONICET, Güemes 3450, (3000) Santa Fe, Argentinab FIQ-UNL-IMAL, Departamento de Matemática, Stgo. del Estero 2829, (3000) Santa Fe, Argentina |
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Abstract: | 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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Keywords: | 11G20 14G15 14H25 |
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