๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the Gaps between Squarefree Numbers

โœ Scribed by Roth, K. F.


Book ID
120099246
Publisher
Oxford University Press
Year
1951
Tongue
English
Weight
144 KB
Volume
s1-26
Category
Article
ISSN
0024-6107

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On Gaps Between Squarefree Numbers II
โœ Filaseta, M.; Trifonov, O. ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 145 KB
On Gaps Between k-Free Numbers
โœ O. Trifonov ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 337 KB

An elementary proof is given that for \(k \geqslant 3\) there exists a constant \(c=c(k)\) such that for \(x\) sufficiently large (depending on \(k\) ), the interval \(\left(x, x+c x^{1,12 k+1} \log x\right.\) ] contains a \(k\)-free number. This result improves on a previous result of M. Filaseta (

The Distribution of Squarefree Numbers
โœ Graham, S. W. ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 172 KB