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<p>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 polynomial relations reminiscent of Newton identities.</p>

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

  • 期刊论文

  • 发表日期：

    2025年5月12日

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  • Jinwoo Choi,
  • Dohyeong Kim

摘要

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 polynomial relations reminiscent of Newton identities.