Fundamental units for real quadratic fields determined by continued fraction conditions
The aim of this paper is to obtain the real quadratic fields $\mathbb{Q}\left(\sqrt{d}\right)$ including $$\omega_d=\left[a_0;;\overline{\underbrace{\gamma,\gamma,\dots,\gamma}_{l-1},a_l}\right]$$ where $l=l\left(d\right)$ is the period length and $\gamma$ is a positive odd integer. Moreover, we hav...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2020-04-01
|
| Series: | AIMS Mathematics |
| Subjects: |