Abstract
A weakly mixing cocycle over a rotation is a measurable function , where , such that the equation for almost all (*) has no measurable solutions for any and , . If the irrational number has bounded convergents in its continued fraction expansion and a function increases more slowly than , then it is proved that there exists a weakly mixing cocycle of the form , where belongs to the class . In addition, it is shown that equation (*) (and also the corresponding additive cohomological equation) is soluble for .
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