On index divisors and monogenity of certain number fields defined by trinomials $x^7+ax+b$
Number Theory
2023-03-02 v2
Abstract
For a number field defined by a trinomail , Jakhar and Kumar gave some necessary conditions on and , which guarantee the non-monogenity of \cite{A6}. In this paper, for every prime integer , we characterize when is a common index divisor of . In particular, if any one of these conditions holds, then is not monogenic. In such a way our proposed results extend those of Jakhar and Kumar.
Cite
@article{arxiv.2202.09342,
title = {On index divisors and monogenity of certain number fields defined by trinomials $x^7+ax+b$},
author = {Lhoussain El Fadil},
journal= {arXiv preprint arXiv:2202.09342},
year = {2023}
}
Comments
Submitted. arXiv admin note: substantial text overlap with arXiv:2112.01133