Moments of the Riemann zeta function on short intervals of the critical line
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Publication:2072090
DOI10.1214/21-AOP1524zbMath1497.11194arXiv1901.04061OpenAlexW2908969280WikidataQ114060484 ScholiaQ114060484MaRDI QIDQ2072090
Maksym Radziwiłł, Frédéric Ouimet, Louis-Pierre Arguin
Publication date: 1 February 2022
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.04061
Random fields (60G60) Extreme value theory; extremal stochastic processes (60G70) (zeta (s)) and (L(s, chi)) (11M06) Large deviations (60F10)
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Cites Work
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- Gaussian multiplicative chaos and applications: a review
- Maximum of the characteristic polynomial of random unitary matrices
- Maxima of a randomized Riemann zeta function, and branching random walks
- Sparse equidistribution problems, period bounds and subconvexity
- Mesoscopic fluctuations of the zeta zeros
- Moments of the Riemann zeta function
- The characteristic polynomial of a random unitary matrix and Gaussian multiplicative chaos -- the \(L^2\)-phase
- Derrida's generalized random energy models. II: Models with continuous hierarchies
- On the extreme values of the Riemann zeta function on random intervals of the critical line
- Poisson-Dirichlet statistics for the extremes of a randomized Riemann zeta function
- The subconvexity problem for \(\mathrm{GL}_2\)
- Selberg's central limit theorem for \(\log|\zeta(1/2+it)|\)
- On the maximum of the C\(\beta\)E field
- The Fyodorov-Bouchaud formula and Liouville conformal field theory
- The Riemann zeta function and Gaussian multiplicative chaos: statistics on the critical line
- On the moments of the moments of the characteristic polynomials of random unitary matrices
- Large greatest common divisor sums and extreme values of the Riemann zeta function
- The mean square of the product of the Riemann zeta-function with Dirichlet polynomials
- Large deviations and continuity estimates for the derivative of a random model of \(|\zeta|\) on the critical line
- From Derrida's random energy model to branching random walks: from 1 to 3
- Derrida’s Random Energy Models
- Gaussian Processes on Trees
- Decoupling, exponential sums and the Riemann zeta function
- Statistical Mechanics of Disordered Systems
- Freezing transitions and extreme values: random matrix theory, and disordered landscapes
- Bounding |ζ(½+it )| on the Riemann hypothesis
- Random-energy model: An exactly solvable model of disordered systems
- From 1 to 6: A Finer Analysis of Perturbed Branching Brownian Motion
- Freezing and extreme-value statistics in a random energy model with logarithmically correlated potential
- Fractional Moments of the Riemann Zeta-Function
- The Maximum of the CUE Field
- Extreme values of CUE characteristic polynomials: a numerical study
- Maximum of the Riemann Zeta Function on a Short Interval of the Critical Line
- CONTINUOUS LOWER BOUNDS FOR MOMENTS OF ZETA ANDL‐FUNCTIONS
- SHARP UPPER BOUNDS FOR FRACTIONAL MOMENTS OF THE RIEMANN ZETA FUNCTION
- Multiplicative chaos and the characteristic polynomial of the CUE: The 𝐿¹-phase
- Sommes de Gál et applications
- Sojourns in Probability Theory and Statistical Physics - I
- The maximum size of L-functions
- Random matrix theory and \(\zeta(1/2+it)\).
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