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arXiv · 2304.01632

Almost sure upper bound for a model problem for multiplicative chaos in number theory

Rachid Caich
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Abstract

The goal of this work is to prove a new sure upper bound in a setting that can be thought of as a simplified function field analogue. This result is comparable to a recent result of the author concerning almost sure upper bound of random multiplicative functions. Having a simpler quantity allows us to make the proof more accessible.

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Rachid Caich. 2023-04-04. Almost sure upper bound for a model problem for multiplicative chaos in number theory. https://doi.org/10.1017/s030500412500026x

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