Extends Boshernitzan's uniform distribution criterion for Hardy-field functions to weighted averages via summability methods, with an application showing density of fractional parts for x^{3/2} in short intervals.
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A criterion for weighted uniform distribution along functions from a Hardy field
Extends Boshernitzan's uniform distribution criterion for Hardy-field functions to weighted averages via summability methods, with an application showing density of fractional parts for x^{3/2} in short intervals.