| Title |
Approximation of irrational numbers by pairs of integers from A large set / |
| Authors |
Dubickas, Artūras |
| DOI |
10.1017/S0004972724000194 |
| Full Text |
|
| Is Part of |
Bulletin of the Australian Mathematical Society.. Cambridge : Cambridge University Press. 2024, Early Access, p. [1-9].. ISSN 0004-9727. eISSN 1755-1633 |
| Keywords [eng] |
11B05 ; 11J04 ; 11J70 ; 11K31 ; 2020 Mathematics subject classification |
| Abstract [eng] |
We show that there is a set with lower density arbitrarily close to such that, for each sufficiently large real number , the inequality holds for every pair . On the other hand, if has density , then, for each irrational 0$ ]]> and any positive , there exist for which . |
| Published |
Cambridge : Cambridge University Press |
| Type |
Journal article |
| Language |
English |
| Publication date |
2024 |
| CC license |
|
