On the sequence \([n\alpha]\), \(n=1,2,\dots\) (Q2857822)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the sequence \([n\alpha]\), \(n=1,2,\dots\) |
scientific article; zbMATH DE number 6229022
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the sequence \([n\alpha]\), \(n=1,2,\dots\) |
scientific article; zbMATH DE number 6229022 |
Statements
19 November 2013
0 references
integer parts
0 references
continued fraction
0 references
On the sequence \([n\alpha]\), \(n=1,2,\dots\) (English)
0 references
Let \(\alpha=[\alpha]+\theta\) with \(0<\theta<1\). In this note, the authors give some formula for expression of \([\alpha x]\), where \(x\) is a positive integer, in terms of \([\alpha]x+y\) in case the continued fraction expansion for \(\theta\) is known. In particular, to show how their formula works they find the identity \([88 e]=2 \cdot 88 + 63=239\).
0 references
0.7527112364768982
0 references
0.7527112364768982
0 references
0.7465447187423706
0 references
0.7447411417961121
0 references
