Diophantine approximation exponents and continued fractions for algebraic power series

Authors
Citation
Ds. Thakur, Diophantine approximation exponents and continued fractions for algebraic power series, J NUMBER TH, 79(2), 1999, pp. 284-291
Citations number
21
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF NUMBER THEORY
ISSN journal
0022314X → ACNP
Volume
79
Issue
2
Year of publication
1999
Pages
284 - 291
Database
ISI
SICI code
0022-314X(199912)79:2<284:DAEACF>2.0.ZU;2-L
Abstract
For each rational number not less than 2, we provide an explicit family of continued fractions of algebraic power series in finite characteristic (tog ether with the algebraic equations they satisfy) which has that rational nu mber as its diophantine approximation exponent. We also provide some non-qu adratic examples with bounded sequences of partial quotients. (C) 1999 Acad emic Press.