Cover Image

Conditional Upper Bounds for Large Deviations and Moments of the Riemann Zeta Function

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Arguin, Louis-Pierre, Bailey, Emma, Roberts, Asher
Format:	Preprint
Published:	2026
Subjects:	Number Theory Probability 11M06, 60F10, 60G70
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Fyodorov--Hiary--Keating Conjecture on Mesoscopic Intervals
by: Arguin, Louis-Pierre, et al.
Published: (2024)

Upper Bounds on Large Deviations of Dirichlet $L$-functions in the $q$-aspect
by: Arguin, Louis-Pierre, et al.
Published: (2024)

Lower bounds for the large deviations and moments of the Riemann zeta function on the critical line
by: Arguin, Louis-Pierre, et al.
Published: (2026)

Integral Means Spectrum for the Random Riemann Zeta Function
by: Duplantier, Bertrand, et al.
Published: (2026)

Hybrid Statistics of a Random Model of Zeta over Intervals of Varying Length
by: Chang, Christine
Published: (2024)

The Multivariate Rate of Convergence for Selberg's Central Limit Theorem
by: Roberts, Asher
Published: (2022)

Large Deviations of Cover Time of Tori in Dimensions $d\geq 3$
by: Li, Xinyi, et al.
Published: (2024)

Moment generating functions and moderate deviation principles for lacunary trigonometric sums
by: Aistleitner, Christoph, et al.
Published: (2025)

Dirichlet $L$-functions on the critical line and multiplicative chaos
by: Vihko, Sami
Published: (2025)

Some vector-valued examples of noncentral moderate deviation results
by: Macci, Claudio, et al.
Published: (2025)

Arithmetic sensitivity of cumulant growth in lacunary sums: transcendental versus algebraic ratio limits
by: Aistleitner, Christoph, et al.
Published: (2025)

Ranges of Extremal Processes and Heavy-Tailed Random Walks in Spaces of Growing Dimension
by: Jin, Bochen, et al.
Published: (2025)

Large-population asymptotics for the maximum of diffusive particles with mean-field interaction in the noises
by: Kolliopoulos, Nikolaos, et al.
Published: (2024)

Sharp Large Deviations and Gibbs Conditioning for Threshold Models in Portfolio Credit Risk
by: Deng, Fengnan, et al.
Published: (2025)

Large deviations for sums of multivariate stretched-exponential random variables: the few-big-jumps principle
by: Gantert, Nina, et al.
Published: (2026)

Large fluctuations of sums of a random multiplicative function
by: Shala, Besfort
Published: (2026)

Large Deviation Principle for the Empirical Measures of Simple Random Walks on $\overline{\mathbb{Z}}$
by: Fatras, Jan-Luka
Published: (2026)

Deviation probabilities and Sharp Berry-Esseen bound for rightmost eigenvalue of large non-Hermitian chiral random matrices
by: Ma, Yutao, et al.
Published: (2026)

Propagation of chaos for point processes induced by particle systems with mean-field drift interaction
by: Kolliopoulos, Nikolaos, et al.
Published: (2023)

Propagation of chaos for maxima of particle systems with mean-field drift interaction
by: Kolliopoulos, Nikolaos, et al.
Published: (2022)

Limit theorems for first passage times of multivariate perpetuity sequences
by: Mentemeier, Sebastian, et al.
Published: (2023)

Loop pruning and downward deviations for maximum local time of discrete-time simple random walks
by: Li, Xinyi, et al.
Published: (2026)

Large Deviations for Stochastic Differential Equations Driven by Semimartingales
by: Huang, Qiao, et al.
Published: (2019)

Moment conditions for random coefficient AR($\infty$) under non-negativity assumptions
by: Maillard, Pascal, et al.
Published: (2022)

Precise Deviations for discrete marked Hawkes processes
by: Wang, Yingli, et al.
Published: (2023)

Ties, Tails and Spectra: On Rank-Based Dependency Measures in High Dimensions
by: Dörnemann, Nina, et al.
Published: (2025)

On an extreme value law for the unipotent flow on $\mathrm{SL}_2(\mathbb{R})/\mathrm{SL}_2(\mathbb{Z})$
by: Kirsebom, Maxim, et al.
Published: (2022)

Clumsy and Careless: Stationary-Entry Flux in Non-monotone Coupon Collectors
by: Long, Christopher D.
Published: (2026)

Large Deviations for High Minima of Gaussian Processes with Nonnegatively Correlated Increments
by: Selk, Zachary
Published: (2021)

On asymptotic behavior of almost surely extreme values of independent random variables
by: Akbash, Kateryna, et al.
Published: (2025)

Poisson approximation of large-lifetime cycles
by: Hirsch, Christian, et al.
Published: (2024)

On the supremum of random cusp forms
by: Huang, Bingrong, et al.
Published: (2025)

Large deviations at the edge for 1D gases and tridiagonal random matrices at high temperature
by: Guera, Charlie Dworaczek, et al.
Published: (2025)

The sequential loss of allelic diversity
by: Achaz, Guillaume, et al.
Published: (2018)

A law of large numbers for predicting several steps ahead
by: Vovk, Vladimir
Published: (2025)

Maximum interpoint distance of high-dimensional random vectors
by: Heiny, Johannes, et al.
Published: (2023)

Characterisation of distributions via record-like observations
by: Gouet, Raúl, et al.
Published: (2025)

Large Deviations for the d'Arcais Numbers
by: Starr, Shannon
Published: (2026)

Non-Universal Moderate Deviation Principle for the Nodal Length of Arithmetic Random Waves
by: Macci, Claudio, et al.
Published: (2022)

Almost periodic stochastic processes with applications to analytic number theory
by: Iksanov, Alexander, et al.
Published: (2025)