Diophantine approximation exponents and continued fractions for algebraic power series

[摘要] For each rational number not less than 2, we provide an explicit family of continued fractions of algebraic power series in finite characteristic (together with the algebraic equations they satisfy) which has that rational number as its diophantine approximation exponent. We also provide some non-quadratic examples with bounded sequences of partial quotients. (C) 1999 Academic Press.

[发布日期] 1999-12-01