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http://dx.doi.org/10.14403/jcms.2014.27.2.183

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

Kang, Pyung-Lyun (Department of Mathematics Chungnam National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.27, no.2, 2014 , pp. 183-203 More about this Journal
Abstract
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.
Keywords
continued fractions; fundamental units; class number; real quadratic function field;
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Times Cited By KSCI : 1  (Citation Analysis)
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