GALOIS ACTIONS OF A CLASS INVARIANT OVER QUADRATIC NUMBER FIELDS WITH DISCRIMINANT D =64 (mod 72)

• 발행기관: 충청수학회
• 저자명: Daeyeol Jeon
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 26, No. 1, 213~219쪽, 전체 7쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2013.02.28

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, we compute the Galois actions of a class invariant from a generalizedWeber function g1 over imaginnary quadratic number ¯elds with discriminant D ´=64 (mod 72).

목차

1. Introduction

2. Preliminary

3. Results