A Note on Units of Real Quadratic Fields

Abstract

(l; a 1 , . . . , a l−1 ) with one possible exception and apply it to Ankeny-Artin-Chowla conjecture and Mordell conjecture.

Real Quadratic Function Fields of Minimal Type

“…In this paper, we will show the following theorem, which is a function field analogue to [1] and [4]. Theorem 1.1.…”

On Continued Fractions, Fundamental Units and Class Numbers of Real Quadratic Function Fields

“…In this paper, we examine fundamental units of quadratic function fields from continued fraction of √ D following the similar method as in [2] for real quadratic number fields. As applications, we give another proof of geometric analog of Ankeny-Artin-Chowla-Mordell conjecture and better bounds for class numbers and study real quadratic function fields of minimal type with quasi-period 4.…”