ON CONTINUED FRACTIONS, FUNDAMENTAL UNITS AND CLASS NUMBERS OF REAL QUADRATIC FUNCTION FIELDS

• 발행기관: 충청수학회
• 저자명: Pyung-Lyun Kang
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 27, No. 2, 183~203쪽, 전체 21쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2014.05.30

영문 초록

We examine fundamental units of quadratic function¯elds from continued fraction of pD. As a consequence, we give another proof of geometric analog of Ankeny-Artin-Chowla-Mordell conjecture and bounds for class number, and study real quadratic function ¯elds of minimal type with quasi-period 4.

목차

1. Introduction

2. Continued fractions and fundamental units: odd charac- teristic

3. Continued fractions and fundamental units: odd charac- teristic

4. Bounds for L(1; Â)

5. Yokoi s invariants in odd characteristic

6. Real quadratic function ¯elds of minimal type with qusi- period 4

7. Yokoi s invariants in even characteristic