The York Research Database
- » Research
- » York Research Database
- » Publications
- » A converse to linear independence criteria, valid almost everywhere
A converse to linear independence criteria, valid almost everywhere
Research output: Contribution to journal › Article › peer-review
Author(s)
Department/unit(s)
Publication details
| Journal | The Ramanujan Journal |
|---|---|
| Date | E-pub ahead of print - 24 Jan 2015 |
| Date | Published (current) - 2015 |
| Number of pages | 11 |
| Early online date | 24/01/15 |
| Original language | English |
Abstract
We prove a weighted analogue of the Khintchine-Groshev Theorem, where the distance to the nearest integer is replaced by the absolute value. This is subsequently applied to proving the optimality of several linear independence criteria over the field of rational numbers.
Discover related content
Find related publications, people, projects, datasets and more using interactive charts.