THE HAUSDORFF DIMENSION OF SETS ARISING FROM DIOPHANTINE APPROXIMATION WITH A GENERAL ERROR FUNCTION

Authors
RYNNE BP
Citation
Bp. Rynne, THE HAUSDORFF DIMENSION OF SETS ARISING FROM DIOPHANTINE APPROXIMATION WITH A GENERAL ERROR FUNCTION, Journal of number theory (Print), 71(2), 1998, pp. 166-171
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal of number theory (Print) → ACNP
ISSN journal
0022314X
Volume
71
Issue
2
Year of publication
1998
Pages
166 - 171
Database
ISI
SICI code
0022-314X(1998)71:2<166:THDOSA>2.0.ZU;2-2
Abstract
Let m, n be positive integers and let psi:Z(n) --> R be a non-negative function. Let W(m, n; psi) be the set [GRAPHICS] The Hausdorff dimens ion of W(m, n; psi) is obtained for arbitrary non-negative functions p si, with no monotonicity assumptions. (C) 1998 Academic Press.