Diophantine approximation exponents and continued fractions for algebraic power series, by Dinesh S. Thakur

This is an updated version of preprint 140 and is updated again in preprint 156. For each rational diophantine approximation exponent in a certain range, we provide an explicit family of continued fractions of algebraic power series (together with the algebraic equations they satisfy) which have that exponent. We can take exponent arbitrarily near 2.

Dinesh S. Thakur <thakur@math.arizona.edu>