Abstract
Let d be any positive and non-square integer. We prove an upper bound for the first two moments of the length T(d) of the period of the continued fraction expansion for sqrt(d). This allows to improve the existing results for the large deviations of T(d).
| Original language | English |
|---|---|
| Pages (from-to) | N/A-N/A |
| Number of pages | 12 |
| Journal | Mathematika |
| Volume | 70 |
| DOIs | |
| Publication status | Published - 2024 |
Keywords
- continued fraction
- moments