충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제34권4호
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  • Pages.317-326
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  • 2021
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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GENERATION OF RAY CLASS FIELDS OF IMAGINARY QUADRATIC FIELDS

  • Jung, Ho Yun (Department of Mathematics Dankook University)
  • 투고 : 2021.08.12
  • 심사 : 2021.09.23
  • 발행 : 2021.11.15
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초록

Let K be an imaginary quadratic field other than ℚ(${\sqrt{-1}}$) and ℚ(${\sqrt{-3}}$), and let 𝒪K be its ring of integers. Let N be a positive integer such that N = 5 or N ≥ 7. In this paper, we generate the ray class field modulo N𝒪K over K by using a single x-coordinate of an elliptic curve with complex multiplication by 𝒪K.

키워드

과제정보

This research was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT)(No. 2020R1F1A1A01073055).

참고문헌

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