| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4594357 | Journal of Number Theory | 2012 | 5 Pages |
Abstract
We study the behaviour of the classical Dedekind sums s(m/n) for convergents m/n of a given quadratic irrational α. It turns out that two cases may occur: Either the sequence s(m/n) remains bounded with finitely many cluster points, or s(m/n) tends to +∞ or −∞ like or , respectively. By means of the Barkan–Hickerson–Knuth formula we obtain a precise description of what happens in all cases.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
