On the Riemann zeta function and Gaussian multiplicative chaos

Eero Saksman; Christian Webb

doi:10.1007/978-3-030-40120-7_12

On the Riemann zeta function and Gaussian multiplicative chaos

Eero Saksman^*
, Christian Webb

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

University of Helsinki

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Scientific › peer-review

Abstract

We review some aspects of the statistical behavior of the Riemann zeta function on the critical line. Especially, we discuss how its functional statistics is related to Gaussian multiplicative chaos (Saksman and Webb, The Riemann zeta function and Gaussian multiplicative chaos: statistics on the critical line. Preprint arXiv:1609.00027).

Original language	English
Title of host publication	Advancements in Complex Analysis
Subtitle of host publication	From Theory to Practice
Publisher	Springer
Pages	473-496
Number of pages	24
ISBN (Electronic)	9783030401207
ISBN (Print)	9783030401191
DOIs	https://doi.org/10.1007/978-3-030-40120-7_12
Publication status	Published - 2020
MoE publication type	A3 Book section, Chapters in research books

Keywords

Critical line
Multiplicative chaos
Riemann zeta function
Statistical behavior

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10.1007/978-3-030-40120-7_12

Cite this

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AB - We review some aspects of the statistical behavior of the Riemann zeta function on the critical line. Especially, we discuss how its functional statistics is related to Gaussian multiplicative chaos (Saksman and Webb, The Riemann zeta function and Gaussian multiplicative chaos: statistics on the critical line. Preprint arXiv:1609.00027).

KW - Critical line

KW - Multiplicative chaos

KW - Riemann zeta function

KW - Statistical behavior

UR - https://www.scopus.com/pages/publications/85089319291

U2 - 10.1007/978-3-030-40120-7_12

DO - 10.1007/978-3-030-40120-7_12

M3 - Chapter

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SN - 9783030401191

SP - 473

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BT - Advancements in Complex Analysis

PB - Springer

ER -

On the Riemann zeta function and Gaussian multiplicative chaos

Abstract

Keywords

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