Diophantine approximation exponents and continued fractions for algebraic power series, by Dinesh S. Thakur
This is a corrected and improved version of the preprint 147.
This paper has now appeared in the Journal of Number Theory 79 (1999),
284-291, and so the preprint has been removed.
For each rational number not less than 2, we provide an
explicit family of continued fractions of algebraic power
series in finite characterisic (together with the algebraic
equations they satisfy) which have that rational number
as its diophantine approximation exponent. We also
provide some non-quadratic examples with bounded sequence
of partial quotients.
Dinesh S. Thakur <email@example.com>