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math.NT2007
The divided cell algorithm and the inhomogeneous Lagrange and Markoff spectra
Richard T. Bumby, Mary E. Flahive
The divided cell algorithm was introduced by Delone in 1947 to calculate the inhomogeneous minima of binary quadratic forms and developed further by E. S. Barnes and H. P. F. Swinn…
math.NT2007
Inhomogeneous Diophantine approximation of some Hurwitzian numbers
Richard T. Bumby, Mary E. Flahive
We continue the work of Takao Komatsu by considering the inhomogeneous approximation constant L(θ,ϕ) for Hurwitzian numbers θ, and rationally related ϕ(r θ+m)/n in Q(θ) +Q. The cur…