FORMULAS OF GALOIS ACTIONS OF SOME CLASS INVARIANTS OVER QUADRATIC NUMBER FIELDS WITH DISCRIMINANT D ´ 1 (mod 12)

• 발행기관: 충청수학회
• 저자명: Dae yeol Jeon
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 22, No. 4, 799~814쪽, 전체 16쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2009.12.30

영문 초록

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 some class invariants from the generalized Weber functions g0; g1; g2 and g3 over quadratic number ¯elds with discriminant D ´ 1 (mod 12).

목차

1. Introduction

2. Preliminary

3. Results

References