학술논문
ON CONTINUED FRACTIONS, FUNDAMENTAL UNITS AND CLASS NUMBERS OF REAL QUADRATIC FUNCTION FIELDS
이용수 7
- 영문명
- 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
- 발행일자
- 2014.05.30
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국문 초록
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
키워드
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