On simultaneous rational approximations to a real number, its square, and its cube
Work
Year: 2008
Type: article
Abstract: We show that, for any transcendental real number ξ, the uniform exponent of simultaneous approximation of the triple (ξ, ξ 2 , ξ 3 ) by rational numbers with the same denominator is at most (1 + 2γ -1... more
Source: Acta Arithmetica
Author Damien Roy
Institution University of Ottawa
Cites: 9
Cited by: 23
Related to: 10
FWCI:
Citation percentile (by year/subfield): 84.26
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: bronze