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arxiv:2307.00499

Almost sure bounds for a weighted Steinhaus random multiplicative function

Published on Jul 2, 2023
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Abstract

We obtain almost sure bounds for the weighted sum sum_{n leq t} f(n){n}, where f(n) is a Steinhaus random multiplicative function. Specifically, we obtain the bounds predicted by exponentiating the law of the iterated logarithm, giving sharp upper and lower bounds.

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