Paper Info
Title
On optimal simultaneous rational approximation to (omega, omega2)tau with omega being some kind of cubic algebraic function
Abstract
It is shown that each rational approximant to (ω,ω2)τ given by the Jacobi–Perron algorithm (JPA) or modified Jacobi–Perron algorithm (MJPA) is optimal, where ω is an algebraic function (a formal Laurent series over a finite field) satisfying ω3+kω-1=0 or ω3+kdω-d=0. A result similar to the main result of Ito et al. [On simultaneous approximation to (α,α2) with α3+kα-1=0, J. Number Theory 99 (2003) 255–283] is obtained.
Year
DOI
Venue
2007
10.1016/j.jat.2007.04.002
Journal of Approximation Theory
Keywords
DocType
Volume
Multi-dimensional continued fraction algorithm,Jacobi–Perron algorithm,Modified Jacobi–Perron algorithm,Optimal simultaneous rational approximation
Journal
148
Issue
ISSN
Citations 
2
0021-9045
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Quanlong Wang1132.97
Kunpeng Wang24111.79
Zong-duo Dai320325.53