Cover Image

Arithmetic statistics of families of integer Sn-polynomials and application to class group torsion

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Viglino, Ilaria
Format:	Preprint
Published:	2022
Subjects:	Number Theory Probability
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An average version of Cilleruelo's conjecture for families of $S_n$-polynomials over a number field
by: Viglino, Ilaria
Published: (2024)

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

Poisson-Dirichlet approximation for counting integers with divisors in an interval
by: Haddad, Tony
Published: (2025)

Almost sure asymptotics for the number variance of dilations of integer sequences
by: Aistleitner, Christoph, et al.
Published: (2025)

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

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)

Sharp threshold for universality of cokernels of classical random matrix models over the $p$-adic integers
by: Jung, Jiwan, et al.
Published: (2026)

Algebraic aspects of the polynomial Littlewood-Offord problem
by: Jin, Zhihan, et al.
Published: (2025)

On the prime Selmer ranks of cyclic prime twist families of elliptic curves over global function fields
by: Park, Sun Woo
Published: (2022)

On convergence of points to limiting processes, with an application to zeta zeros
by: de Reyna, Juan Arias, et al.
Published: (2023)

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

The number of solutions of a random system of polynomials over a finite field
by: Jain, Ritik
Published: (2024)

Groups with pairings, Hall modules, and Hall-Littlewood polynomials
by: Shen, Jiahe, et al.
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)

The VC-dimension of random subsets of finite groups
by: Rodgers, Brad, et al.
Published: (2025)

Exchangeable arrays and integrable systems for characteristic polynomials of random matrices
by: Assiotis, Theodoros, et al.
Published: (2024)

Symmetric functions and the explicit moment problem for abelian groups
by: Van Peski, Roger
Published: (2024)

On the $2$-torsion in class groups of number fields
by: Bonolis, Dante
Published: (2025)

Bounds for moments of $\ell$-torsion in class groups
by: Koymans, Peter, et al.
Published: (2023)

Random matrix statistics and zeroes of $L$-functions via probability in $λ$-rings
by: Howe, Sean
Published: (2024)

Rank fluctuations of matrix products and a moment method for growing groups
by: Nguyen, Hoi H., et al.
Published: (2024)

Irreducibility of Littlewood polynomials of special degrees
by: Bary-Soroker, Lior, et al.
Published: (2023)

The cokernel of a polynomial push-forward of a random integral matrix with concentrated residue
by: Cheong, Gilyoung, et al.
Published: (2023)

On the analytic extension of Random Riemann Zeta Functions for some probabilistic models of the primes
by: Margarint, Vlad, et al.
Published: (2024)

Distribution of the roots of Eulerian polynomials
by: Melotti, Paul
Published: (2025)

Finite quotients of 3-manifold groups
by: Sawin, Will, et al.
Published: (2022)

A new pointwise bound for $3$-torsion of class groups
by: Chan, Stephanie, et al.
Published: (2025)

Arithmetic properties of families of plane polynomial automorphisms
by: Zhang, Yugang
Published: (2024)

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

Arithmetic of some real triquadratic fields; Units and 2-class groups
by: Chems-Eddin, Mohamed Mahmoud
Published: (2021)

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

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

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

Higher moment formulae and limiting distributions of lattice points
by: Alam, Mahbub, et al.
Published: (2021)

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

Gaussian Processes Generated By Monotonically Modulated Stationary Kernels
by: Crowley, Stephen
Published: (2025)

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)

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

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