학술저널
ON CONTINUED FRACTIONS, FUNDAMENTAL UNITS AND CLASS NUMBERS OF REAL QUADRATIC FUNCTION FIELDS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 27, No. 2
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2014.05183 - 203 (21 pages)
- 7
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.
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
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