Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593859 | Journal of Number Theory | 2013 | 19 Pages |
Abstract
We generalize to an arbitrary number field the result of Davenport and Schmidt about approximation to a real number and his square by rational numbers with the same denominator, as well as its p-adic analog due to Teulié. By an extension of Royʼs method, we prove that our new result is optimal.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Pierre Bel,