Abstract
Let [Formula: see text] be a real number with [Formula: see text]. We study the representations of a large integer [Formula: see text] in the form [Formula: see text] where [Formula: see text] is an integer and [Formula: see text] is a friable number with [Formula: see text] for [Formula: see text]. We prove that when [Formula: see text] and [Formula: see text], all sufficiently large integers are thus representable.
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