Non-periodic continued fractions in hyperelliptic function fields. (English) Zbl 1013.11036
The author looks at 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. He ends the paper with a discussion of Padé approximations and periodicity.
Reviewer: Richard A.Mollin (Calgary)
MSC:
| 11J70 | Continued fractions and generalizations |
| 11A55 | Continued fractions |
| 11J68 | Approximation to algebraic numbers |
| 41A21 | Padé approximation |
Keywords:
function field; exponential growth; height of the coefficients; partial quotients; continued fraction expansion; square root of a generic polynomial; Padé approximations; periodicityReferences:
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