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Non-periodic continued fractions in hyperelliptic function fields

Published online by Cambridge University Press:  17 April 2009

Alfred J. van der Poorten
Affiliation:
ceNTRe for Number Theory Research, Macquarie University, Sydney, NSW 2109, Australia, e-mail: alf@math.mq.edu.au
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Dedicated to George Szekeres on his 90th birthday

We discuss the exponential growth in the height of the coefficients of the partial quotients of the continued fraction expansion of the square root of a generic polynomial.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2001

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