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 <thakur@math.arizona.edu>