Partial sums of random multiplicative functions and extreme values of a model for the Riemann zeta function

DOI10.1112/jlms.12421zbMath1482.11103arXiv2006.02754OpenAlexW3033115823MaRDI QIDQ5006339

Jing Zhao, Winston Heap, Marco Aymone

Publication date: 13 August 2021

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.02754

zbMATH Keywords

Riemann zeta functionrandom multiplicative function

Mathematics Subject Classification ID

Strong limit theorems (60F15) (zeta (s)) and (L(s, chi)) (11M06) Arithmetic functions in probabilistic number theory (11K65)

Related Items

Moments of polynomials with random multiplicative coefficients ⋮ Extremal bounds for Dirichlet polynomials with random multiplicative coefficients

Cites Work

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• Maxima of a randomized Riemann zeta function, and branching random walks
• Hardy spaces of Dirichlet series and their composition operators
• Moments of the Riemann zeta function
• Logarithmic Sobolev inequalities and hypercontractive estimates on the circle
• On the extreme values of the Riemann zeta function on random intervals of the critical line
• High pseudomoments of the Riemann zeta function
• Upper bounds for \(L^{q}\) norms of Dirichlet polynomials with small \(q\)
• Bounds on the suprema of Gaussian processes, and omega results for the sum of a random multiplicative function
• Law of the iterated logarithm for a random Dirichlet series
• An inequality of Hardy-Littlewood type for Dirichlet polynomials
• Real zeros of random Dirichlet series
• Moments of random multiplicative functions. II: High moments
• A note on multiplicative functions resembling the Möbius function
• Pseudomoments of the Riemann zeta-function and pseudomagic squares
• Random factorizations and Riemann's hypothesis
• Sommes friables de fonctions multiplicatives aléatoires
• On the value Distribution of the Zeta-Function on the Critical Line
• Maximum of the Riemann Zeta Function on a Short Interval of the Critical Line
• On mean values of random multiplicative functions
• Low Pseudomoments of the Riemann Zeta Function and Its Powers
• MOMENTS OF RANDOM MULTIPLICATIVE FUNCTIONS, I: LOW MOMENTS, BETTER THAN SQUAREROOT CANCELLATION, AND CRITICAL MULTIPLICATIVE CHAOS
• The maximum size of L-functions