On power integral bases of certain pure number fields defined by $$x^{3^r}

On power integral bases of certain pure number fields defined by $$x^{3^r} - m$$

Published:2021-07-12 Issue: Volume: Page:
ISSN:1982-6907
Container-title:São Paulo Journal of Mathematical Sciences
language:en
Short-container-title:São Paulo J. Math. Sci.

Author:

Ben Yakkou Hamid,Kchit Omar

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Statistics, Probability and Uncertainty,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40863-021-00251-2.pdf

Reference22 articles.

1. Ahmad, S., Nakahara, T., Hameed, A.: On certain pure sextic fields related to a problem of Hasse. Int. J. Alg. and Comput. 26(3), 577–583 (2016)

2. Ahmad, S., Nakahara, T., Husnine, S.M.: Power integral bases for certain pure sextic fields. Int. J. of Number Theory. 10(8), 2257–2265 (2014)

3. Ben Yakkou, H., Chillali, A., El Fadil, L.: On Power integral bases for certain pure number fields defined by $$x^{2^r\cdot 5^s}-m$$. Comm. in Algebra 49(7), 2916–2926 (2021)

4. Dedekind, R.: Über den Zusammenhang zwischen der Theorie der Ideale und der Theorie der höheren Kongruenzen. Göttingen Abhandlungen. 23, 1–23 (1878)

5. El Fadil, L.: Computation of a power integral basis of a pure cubic number field. Int. J. Contemp. Math. Sci. 2(13–16), 601–606 (2007)

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