HALLS RAY IN INHOMOGENEOUS DIOPHANTINE APPROXIMATION

Authors
CUSICK TW MORAN W POLLINGTON AD
Citation
Tw. Cusick et al., HALLS RAY IN INHOMOGENEOUS DIOPHANTINE APPROXIMATION, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 60, 1996, pp. 42-50
Citations number
7
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
60
Year of publication
1996
Part
1
Pages
42 - 50
Database
ISI
SICI code
0263-6115(1996)60:<42:HRIIDA>2.0.ZU;2-B
Abstract
The aim of the paper is to show the existence of a 'Hall's ray' for th e particular case of the one-sided inhomogeneous diophantine approxima tion problem, where the irrational is the golden ratio. The proof uses a sum-set method similar to that used by Marshall Hall for the origin al result of this kind.