GALOIS ACTIONS OF A CLASS INVARIANT OVER QUADRATIC NUMBER FIELDS WITH DISCRIMINANT D  −3 (mod 36)

• 발행기관: 충청수학회
• 저자명: Dae yeol Jeon
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 23, No. 4, 853~860쪽, 전체 8쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2010.12.30

영문 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 g2 over quadratic number fields with discriminant D  −3 (mod 36).

목차

1. Introduction

2. Preliminary

3. Results

Acknowledgments

References