TY - JOUR
T1 - The Hausdorff Dimension of Sets Arising from Diophantine Approximation with a General Error Function
AU - Rynne, Bryan P.
PY - 1998/8
Y1 - 1998/8
N2 - Letm,nbe positive integers and let?:Zn?R be a non-negative function. LetW(m, n; ?) be the setX?Rmn:?j=1nxijqj<?(q), 1=i=m, for infinitely manyq?Zn.The Hausdorff dimension ofW(m, n; ?) is obtained for arbitrary non-negative functions?, with no monotonicity assumptions. © 1998 Academic Press.
AB - Letm,nbe positive integers and let?:Zn?R be a non-negative function. LetW(m, n; ?) be the setX?Rmn:?j=1nxijqj<?(q), 1=i=m, for infinitely manyq?Zn.The Hausdorff dimension ofW(m, n; ?) is obtained for arbitrary non-negative functions?, with no monotonicity assumptions. © 1998 Academic Press.
UR - http://www.scopus.com/inward/record.url?scp=0040685464&partnerID=8YFLogxK
U2 - 10.1006/jnth.1998.2253
DO - 10.1006/jnth.1998.2253
M3 - Article
SN - 0022-314X
VL - 71
SP - 166
EP - 171
JO - Journal of Number Theory
JF - Journal of Number Theory
IS - 2
ER -