ON CONTINUED FRACTIONS, FUNDAMENTAL UNITS AND CLASS NUMBERS OF REAL QUADRATIC FUNCTION FIELDS
Pyung-Lyun Kang · Journal of the Chungcheng Mathematical Society · 2014
We examine fundamental units of quadratic function fields from continued fraction of $\sqrt{D}$ . 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 fields of minimal type with quasi-period 4.