On the Riemann zeta function and Gaussian multiplicative chaos

Eero Saksman*, Christian Webb

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterScientificpeer-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 languageEnglish
Title of host publicationAdvancements in Complex Analysis
Subtitle of host publicationFrom Theory to Practice
PublisherSpringer International Publishing Switzerland
Pages473-496
Number of pages24
ISBN (Electronic)9783030401207
ISBN (Print)9783030401191
DOIs
Publication statusE-pub ahead of print - 13 May 2020
MoE publication typeA3 Part of a book or another research book

Keywords

  • Critical line
  • Multiplicative chaos
  • Riemann zeta function
  • Statistical behavior

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