|
|||||
|
|
SIMULTANEOUS DIOPHANTINE APPROXIMATION BY SQUARE-FREE NUMBERS |
|
| Authors: | Dietmann Rainer |
| Institution: | Institut für Algebra und Zahlentheorie, Pfaffenwaldring 57, D-70569 Stuttgart, Germany |
| Abstract: | Let  1, ...,r  R be ‘not very well approximable’,for example, Q-linearly independent real algebraic numbers.Then there are infinitely many positive square-free integersn such that ||ni|| << n–(2/3r)+ (1  i r), where||·|| denotes distance to the nearest integer. |
| Keywords: | |
| 本文献已被 Oxford 等数据库收录！ | |