On the Riemann Zeta Function and Gaussian Multiplicative Chaos

Eero Saksman () and Christian Webb ()
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Eero Saksman: University of Helsinki, Department of Mathematics and Statistics
Christian Webb: Aalto University, Department of mathematics and systems analysis

A chapter in Advancements in Complex Analysis, 2020, pp 473-496 from Springer

Abstract: 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).

Keywords: Primary 60G57; Secondary 11M06, 60G15, 11M50; Riemann zeta function; Multiplicative chaos; Critical line; Statistical behavior (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-40120-7_12

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

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