충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제23권4호
  • /
  • Pages.853-860
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  • 2010
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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GALOIS ACTIONS OF A CLASS INVARIANT OVER QUADRATIC NUMBER FIELDS WITH DISCRIMINANT D ≡ -3 (mod 36)

  • Jeon, Daeyeol (Department of Mathematics Education Kongju National University)
  • 투고 : 2010.10.20
  • 심사 : 2010.11.24
  • 발행 : 2010.12.30
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초록

A class invariant is the value of a modular function that generates a ring class field of an imaginary quadratic number field such as the singular moduli of level 1. In this paper, using Shimura Reciprocity Law, we compute the Galois actions of a class invariant from a generalized Weber function $g_2$ over quadratic number fields with discriminant $D{\equiv}-3$ (mod 36).

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참고문헌

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