JournalsrmiVol. 30, No. 4pp. 1489–1498

Application of Weierstrass units to relative power integral bases

  • Ho Yun Jung

    National Institute for Mathematical Sciences, Daejeon, South Korea
  • Ja Kyung Koo

    KAIST, Daejeon, South Korea
  • Dong Hwa Shin

    Hankuk University of Foreign Studies, Gyeonggi-Do, South Korea
Application of Weierstrass units to relative power integral bases cover
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Abstract

Let KK be an imaginary quadratic field not equal to Q(1)\mathbb{Q}(\sqrt{-1}) or Q(3)\mathbb{Q}(\sqrt{-3}). We construct relative power integral bases between certain abelian extensions of KK in terms of Weierstrass units.

Cite this article

Ho Yun Jung, Ja Kyung Koo, Dong Hwa Shin, Application of Weierstrass units to relative power integral bases. Rev. Mat. Iberoam. 30 (2014), no. 4, pp. 1489–1498

DOI 10.4171/RMI/823