Methods of modelling relative growth rate

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The relative growth rate for partial quotients

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. In this note we look at the rate of growth of the partial quotients ai of the irrational number x = [a1, a2, . . . ] = 1 a1 + 1 a2 + 1 a3 + ...

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ژورنال

عنوان ژورنال: Forest Ecosystems

سال: 2015

ISSN: 2197-5620

DOI: 10.1186/s40663-015-0029-4