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Andrew Haas
The relative growth rate for partial quotients
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| Published: |
February 21, 2008 |
| Keywords: |
metric diophantine approximation, Hausdorff dimension |
| Subject: |
11K50, 11K60 |
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Abstract
The rate of growth of the partial quotients of an irrational number is studied
relative to the rate of approximation of the number by its convergents. The
focus is on the Hausdorff dimension of exceptional sets on which different
growth rates are achieved.
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| Author information
University of Connecticut, Department of Mathematics, Storrs, CT 06269
haas@math.uconn.edu
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