Abstract
In this paper, two types of general sets determined by partial quotients of continued fractions over the field of formal Laurent series with coefficients from a given finite field are studied. The Hausdorff dimensions of { x : deg A n ( x ) ⩾ ϕ ( n ) , for infinitely many n } and { x : deg A n ( x ) ⩾ ϕ ( n ) , ∀ n ⩾ 1 } are determined completely, where A n ( x ) denotes the partial quotients in the continued fraction expansion (in case of Laurent series) of x and ϕ ( n ) is a positive valued function defined on natural numbers N.
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