학술저널
GALOIS ACTIONS OF A CLASS INVARIANT OVER QUADRATIC NUMBER FIELDS WITH DISCRIMINANT D ´ 21 (mod 36)
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 24, No. 4
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2011.11921 - 925 (5 pages)
- 2
A class invariant is the value of a modular function that generates a ring class ¯eld of an imaginary quadratic number ¯eld 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 g2 over quadratic number ¯elds with discriminant D ´ 21 (mod 36).
1. Introduction
2. Preliminary
3. Results
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