International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 1, Pages 201-204
doi:10.1155/S0161171290000308

Location of approximations of a Markoff theorem

K.C. Prasad1 , M. Lari2 and P. Singh3

1Department of Mathematics, Ranchi University, Ranchi 834008, India
2Birsa Agriculture University, India
3S.S.M. College, Ranchi, India

Abstract

Relative to the first two theorems of the well known Markoff Chain (J.W.S. Cassels, "An introduction to diophantine approximation" approximations are well located. Literature is silent on the question of location of approximations in reference to the other theorems of the Chain. Here we settle it for the third theorem of the Chain.