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

Fuente: arXiv
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Autore principale: Caich, Rachid
Natura: Preprint
Pubblicazione: 2023
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author Caich, Rachid
author_facet Caich, Rachid
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2304_01632
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Almost sure upper bound for a model problem for multiplicative chaos in number theory
Caich, Rachid
Number Theory
Probability
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.
title Almost sure upper bound for a model problem for multiplicative chaos in number theory
topic Number Theory
Probability
url https://arxiv.org/abs/2304.01632