Cover Image

Oscillations of random multiplicative functions under initial bias

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Angelo, Rodrigo, Xu, Max Wenqiang
Format:	Preprint
Published:	2024
Subjects:	Number Theory Probability
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A random polynomial with multiplicative coefficients is almost surely irreducible
by: Varjú, Péter P., et al.
Published: (2025)

Partial sums of typical multiplicative functions over short moving intervals
by: Pandey, Mayank, et al.
Published: (2022)

Escaping Chaos in Random Multiplicative Functions
by: Xu, Max Wenqiang
Published: (2026)

Harper's beyond square-root conjecture
by: Wang, Victor Y., et al.
Published: (2024)

Average sizes of mixed character sums
by: Wang, Victor Y., et al.
Published: (2024)

Paucity phenomena for polynomial products
by: Wang, Victor Y., et al.
Published: (2022)

Moments of random multiplicative functions over function fields
by: Hofmann, Maximilian C. E., et al.
Published: (2024)

Central limit theorems for random multiplicative functions
by: Soundararajan, Kannan, et al.
Published: (2022)

Central limit theorems for random multiplicative functions over function fields
by: Hoban, Declan, et al.
Published: (2025)

Martingale central limit theorem for random multiplicative functions
by: Gorodetsky, Ofir, et al.
Published: (2024)

Almost sure upper bound for random multiplicative functions
by: Caich, Rachid
Published: (2023)

Moments of random multiplicative functions, III: A short review
by: Harper, Adam J.
Published: (2024)

On the positivity of some weighted partial sums of a random multiplicative function
by: Aymone, Marco
Published: (2024)

Sign changes of the partial sums of a random multiplicative function II
by: Aymone, Marco
Published: (2023)

Almost sure bounds for weighted sums of Rademacher random multiplicative functions
by: Atherfold, Christopher
Published: (2025)

Limit theorems for random Dirichlet series with summation over primes, with an application to Rademacher random multiplicative functions
by: Dong, Congzao, et al.
Published: (2025)

Sign changes of the partial sums of a random multiplicative function III: Average
by: Aymone, Marco
Published: (2024)

Partial sums of random multiplicative functions with supercritical divisor twists
by: Hamdan, Jad
Published: (2026)

A few notes on the asymptotic behavior of Rademacher random multiplicative functions
by: Hafouta, Yeor
Published: (2025)

A polynomial with a root mod $p$ for every $p$ has a real root
by: Angelo, Rodrigo, et al.
Published: (2022)

A refined random matrix model for function field L-functions
by: Sawin, Will
Published: (2024)

On the limiting distribution of sums of random multiplicative functions
by: Gorodetsky, Ofir, et al.
Published: (2025)

Multiplicative chaos measure for multiplicative functions: the $L^1$-regime
by: Gorodetsky, Ofir, et al.
Published: (2025)

The distribution of partial sums of random multiplicative functions with a large prime factor
by: Hardy, Seth
Published: (2025)

Helson's conjecture for smooth numbers
by: Hardy, Seth, et al.
Published: (2025)

Error term in the Cohen-Lenstra heuristic via random matrix approach
by: Xu, Yue, et al.
Published: (2023)

Percolative properties of the random coprime colouring
by: Fourn, Samuel Le, et al.
Published: (2025)

Poissonian pair correlations for dependent random variables
by: Fielder, Jasmin, et al.
Published: (2024)

Spectral measure of large random Helson matrices
by: Qiu, Yanqi, et al.
Published: (2024)

Irreducibility of the characteristic polynomials of random tridiagonal matrices
by: Bary-Soroker, Lior, et al.
Published: (2025)

On the expected number of roots of a random Dirichlet polynomial
by: Aymone, Marco, et al.
Published: (2024)

Traces of powers of random matrices over local fields
by: Pirani, Noam
Published: (2024)

Time-inhomogeneous random walks on finite groups and cokernels of random integer block matrices
by: Gorokhovsky, Elia
Published: (2024)

Universality of the cokernels of random $p$-adic matrices with inhomogeneously balanced columns
by: Lee, Jungin, et al.
Published: (2026)

Universality of rational canonical form for random matrices over a finite field
by: Shen, Jiahe
Published: (2025)

Almost sure upper bound for a model problem for multiplicative chaos in number theory
by: Caich, Rachid
Published: (2023)

Local limit theorems for random isometries of the plane
by: Drogin, Reuben, et al.
Published: (2026)

Equidistribution of high traces of random matrices over finite fields and cancellation in character sums of high conductor
by: Gorodetsky, Ofir, et al.
Published: (2023)

Multiplicative arithmetic functions and the generalized Ewens measure
by: Elboim, Dor, et al.
Published: (2019)

Additive functionals of Harmonic samples: the conditioned Dickman regime
by: Ramirez, Victor Bernal, et al.
Published: (2025)