Cover Image

Dirichlet $L$-functions on the critical line and multiplicative chaos

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Vihko, Sami
Format:	Preprint
Published:	2025
Subjects:	Number Theory Probability 60G20, 60F17, 11M06
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Convergence of random holomorphic functions with real zeros and extensions of the stochastic zeta function
by: Najnudel, Joseph, et al.
Published: (2022)

The Fyodorov--Hiary--Keating Conjecture on Mesoscopic Intervals
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)

Conditional Upper Bounds for Large Deviations and Moments of the Riemann Zeta Function
by: Arguin, Louis-Pierre, et al.
Published: (2026)

The Fourier coefficients of the critical holomorphic multiplicative chaos
by: Atherfold, Christopher, et al.
Published: (2025)

Simultaneous large values and dependence of Dirichlet $L$-functions in the critical strip
by: Inoue, Shōta, et al.
Published: (2022)

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

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

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

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

The shape of quadratic Gauss paths
by: Dell, Justine, et al.
Published: (2025)

On rates of convergence in central limit theorems of Selberg and Bourgade
by: Hsu, Po-Han, et al.
Published: (2026)

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

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

On the supremum of random cusp forms
by: Huang, Bingrong, 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)

The Stationary Behavior of Reflecting Coupled Brownian Motions with Applications to Shortest Remaining Processing Time Queues
by: Jin, Sixian, et al.
Published: (2025)

Integral Representations of Three Novel Multiple Zeta Functions for Barnes Type: A Probabilistic Approach
by: Lin, Gwo Dong, et al.
Published: (2023)

Probabilistic proof of a summation formula
by: Kim, Taekyun, et al.
Published: (2024)

Central limit theorems for non-linear functionals of Gaussian fields via Wiener chaos decomposition
by: Coppini, Fabio, et al.
Published: (2025)

Joint distribution of primes in multiple short intervals
by: Leung, Sun-Kai
Published: (2024)

Scaled quadratic variation for controlled rough paths and parameter estimation of fractional diffusions
by: Leahy, James-Michael, et al.
Published: (2024)

A central limit theorem for coefficients of $L$-functions in short intervals
by: Leung, Sun-Kai
Published: (2024)

The density of imaginary multiplicative chaos is positive
by: Aru, Juhan, et al.
Published: (2024)

Brownian Motion in a Vector Space over a Local Field is a Scaling Limit
by: Pierce, Tyler, et al.
Published: (2024)

Rough Heston model as the scaling limit of bivariate cumulative heavy-tailed INAR processes: Weak-error bounds and option pricing
by: Wang, Yingli, et al.
Published: (2025)

Self-Exciting Random Evolutions (SEREs) and their Applications (Version 2)
by: Swishchuk, Anatoliy
Published: (2024)

$p$-Adic Brownian Motion is a Scaling Limit
by: Weisbart, David
Published: (2020)

Small-time central limit theorems for stochastic Volterra integral equations and their Markovian lifts
by: Friesen, Martin, et al.
Published: (2024)

Relative compactness of Itô integrals on the M1 Skorokhod space with identification of limits
by: Wunderlich, Fabrice
Published: (2025)

Upper tail distributions of central $L$-values of quadratic twists of elliptic curves at the variance scale
by: Creighton, N.
Published: (2025)

Zeros of Dirichlet $L$-functions on the critical line
by: Sono, Keiju
Published: (2021)

The Maki-Thompson Model with Spontaneous Stifling on Symmetric Networks
by: Garcia, Nancy Lopes, et al.
Published: (2025)

Note on the Weak Convergence of Hyperplane $α$-Quantile Functionals and Their Continuity in the Skorokhod J1 Topology
by: Sparago, Pietro Maria
Published: (2026)

Functional central limit theorem for superdiffusive SDEs with stable noise
by: Mijatović, Aleksandar, et al.
Published: (2026)

State-dependent inverse-subordinator time changes of regenerative processes: Excursion structure and multiscale occupation-time limits
by: Yamato, Kosuke
Published: (2026)

Tail behavior and almost sure growth rate of supOU processes
by: Grahovac, Danijel, et al.
Published: (2024)

On the minimal integral energy of majorants of the Wiener process
by: Nikitin, S. E.
Published: (2025)

Asymptotic expansions for normal deviations of random walks conditioned to stay positive
by: Denisov, Denis, et al.
Published: (2024)

On large deviations for the range of a two-dimensional random walk
by: Popov, Serguei, et al.
Published: (2026)