English

On a weak form of Ennola's conjecture about certain cubic number fields

Number Theory 2024-11-12 v3

Abstract

We establish a weak form of Ennola's conjecture. We achieve this by showing that two main assumptions Louboutin made in his previous work hold true. These assumptions are about Laurent polynomials over the rationals, and we prove them by using Newton identities.

Keywords

Cite

@article{arxiv.2410.21158,
  title  = {On a weak form of Ennola's conjecture about certain cubic number fields},
  author = {Jinwoo Choi and Dohyeong Kim},
  journal= {arXiv preprint arXiv:2410.21158},
  year   = {2024}
}