Cover Image

Low moments of random multiplicative functions twisted by Fourier coefficients of modular forms

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gao, Peng, Zhao, Liangyi
Format:	Preprint
Published:	2026
Subjects:	Number Theory 11N37, 11L40, 11K65, 60G15, 60G57
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

High moments of random multiplicative functions twisted by Fourier coefficients of modular forms
by: Gao, Peng, et al.
Published: (2026)

A short proof of Helson's conjecture
by: Gorodetsky, Ofir, et al.
Published: (2024)

Character sums of Division polynomials twisted by multiplicative functions
by: Bhakta, Subham
Published: (2025)

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

Divisibility and primality in random walks
by: Weber, Michel J. G.
Published: (2023)

Weighted Erdős-Kac Theorems via Computing Moments
by: Fan, Steve
Published: (2023)

Moyennes effectives de fonctions multiplicatives complexes
by: Tenenbaum, Gérald
Published: (2017)

Liouville function, von Mangoldt function and norm forms at random binary forms
by: Diao, Yijie
Published: (2025)

First moment of central values of some primitive Dirichlet $L$-functions with fixed order characters
by: Gao, Peng, et al.
Published: (2023)

First moment of central values of Hecke $L$-functions with Fixed Order Characters
by: Gao, Peng, et al.
Published: (2023)

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

Picking up the partial sums of the Möbius function problem with probabilistic number theory
by: Schmidt, Maxie Dion
Published: (2026)

The Hardy--Ramanujan inequality for sifted sets and its applications
by: Fan, Steve
Published: (2025)

Closed geodesics in short intervals for random hyperbolic surfaces
by: Rudnick, Zeev
Published: (2026)

On the number of irreducible factors with a given multiplicity in function fields
by: Das, Sourabhashis, et al.
Published: (2024)

Twisted first moment of quadratic and quadratic twist $L$-functions
by: Gao, Peng, et al.
Published: (2023)

On moments of the Erdős--Hooley Delta-function
by: de la Bretèche, R., et al.
Published: (2025)

On Arratia's coupling and the Dirichlet law for the factors of a random integer
by: Haddad, Tony, et al.
Published: (2024)

On the central derivatives of l-functions and modularity of heenger cycles
by: Du, Tuoping, et al.
Published: (2026)

Existence and phase structure of random inverse limit measures
by: Kleijn, B. J. K.
Published: (2024)

Rearranged Stochastic Heat Equation: Ergodicity and Related Gradient Descent on ${\mathcal P}({\mathbb R})$
by: Delarue, François, et al.
Published: (2024)

Exponential Sums with Additive Coefficients and its Consequences to Weighted Partitions
by: Das, Madhuparna
Published: (2024)

Weighted averages of arithmetic functions and applications to equidistribution and ergodic theory
by: Bergelson, Vitaly, et al.
Published: (2026)

Note on the mean value of the Erdős--Hooley Delta-function
by: de la Bretèche, Régis, et al.
Published: (2023)

Affine mappings of translation surfaces: shrinking targets and Diophantine properties
by: Judge, Chris, et al.
Published: (2026)

Elliptic curves and Fourier coefficients of meromorphic modular forms
by: Zhang, Pengcheng
Published: (2025)

Random walks on the circle and Diophantine approximation
by: Berkes, Istvan, et al.
Published: (2022)

Atkin and Swinnerton-Dyer congruences for meromorphic modular forms
by: Allen, Michael, et al.
Published: (2025)

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

On local laws for the number of small prime factors
by: Tenenbaum, Gérald
Published: (2018)

Square roots and lattices
by: Marklof, Jens
Published: (2024)

Twisted second moment of primitive cubic L-functions
by: Hong, Ziwei, et al.
Published: (2025)

Bounds for Moments of Twisted Fourier coefficients of Modular Forms
by: Gao, Peng, et al.
Published: (2024)

Large deviation principles for abelian monoids
by: Keliher, Daniel, et al.
Published: (2025)

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

On limiting distributions of arithmetic functions
by: Das, Sourabhashis
Published: (2024)

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

Weighted Distributions of Complex Multiplication Orders in Ordinary Isogeny Classes
by: ezzouak, Mohammed el baraka ans Siham
Published: (2026)

Explicit isogenies of prime degree over number fields
by: Banwait, Barinder S., et al.
Published: (2022)

Cyclic isogenies of elliptic curves over fixed quadratic fields
by: Banwait, Barinder S., et al.
Published: (2022)