Timeline for $\text{SL}_2(\mathbb{Z})$ and continued fractions?
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 9, 2021 at 18:53 | vote | accept | Sprotte | ||
| Nov 9, 2021 at 7:20 | comment | added | Martin Peters | You can read about it in Oleg Karpenkov: Geometry of Continued Fractions. | |
| S Nov 9, 2021 at 6:59 | history | suggested | Dirk Werner | CC BY-SA 4.0 |
some typos / language edited for clarity
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| Nov 8, 2021 at 20:15 | answer | added | KConrad | timeline score: 14 | |
| Nov 8, 2021 at 20:03 | review | Close votes | |||
| Nov 12, 2021 at 22:02 | |||||
| Nov 8, 2021 at 19:38 | comment | added | abx | Question (2) is trivial: you can assume $(p,q)=1$. Choose $a,b$ such that $ap+bq=1$ and take $A=\begin{pmatrix} p & -b\\ q & a \end{pmatrix}$. | |
| Nov 8, 2021 at 19:37 | comment | added | Andrei Smolensky | Better take $x_+=T$ and $x_-=T^\top$ as the generators and look at what a multiplication by $x_+^k$ or $x_-^k$ on the left does to the first column of the matrix. Apply Euclidean algorithm. | |
| Nov 8, 2021 at 19:04 | review | Suggested edits | |||
| S Nov 9, 2021 at 6:59 | |||||
| S Nov 8, 2021 at 18:51 | review | First questions | |||
| Nov 8, 2021 at 19:04 | |||||
| S Nov 8, 2021 at 18:51 | history | asked | Sprotte | CC BY-SA 4.0 |