Cover Image

On the stopping time of the Collatz map in $\mathbb{F}_2[x]$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Alon, Gil, Behajaina, Angelot, Paran, Elad
Format:	Preprint
Published:	2024
Subjects:	Combinatorics Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Collatz map analogue in polynomial rings and in completions
by: Behajaina, Angelot, et al.
Published: (2023)

The Combinatorial Nullstellensatz, Chevalley-Warning Theorem and weak Finitesatz in skew polynomial rings
by: Alon, Gil, et al.
Published: (2025)

Counting Problems for Orthogonal Sets and Sublattices in Function Fields
by: Aranov, Noy Soffer, et al.
Published: (2024)

On the maximum size of ultrametric orthogonal sets over discrete valued fields
by: Aranov, Noy Soffer, et al.
Published: (2024)

An approximation of the Collatz map and a lower bound for the average total stopping time
by: Inselmann, Manuel
Published: (2024)

On the average stopping time of the Collatz map in $\mathbb{F}_2[x]$
by: Inselmann, Manuel
Published: (2024)

Monodromy groups of polynomials of composition length 2
by: Behajaina, Angelot, et al.
Published: (2026)

The Davenport-Lewis-Schinzel problem on the reducibility of $f(X)-g(Y)$
by: Behajaina, Angelot, et al.
Published: (2026)

Almost all orbits of an analogue of the Collatz map on the reals attain bounded values
by: Inselmann, Manuel
Published: (2024)

On off-diagonal Ramsey numbers for vector spaces over $\mathbb{F}_{2}$
by: Hunter, Zach, et al.
Published: (2023)

Integrally Hilbertian rings and the polynomial Schinzel hypothesis
by: Behajaina, Angelot, et al.
Published: (2025)

Möbius function is strongly orthogonal to polynomial phases over $\mathbb{F}_p[t]$
by: Milićević, Luka, et al.
Published: (2025)

A new construction of permutation polynomials over $\mathbb{F}_{q^3}$
by: Ding, Zhiguo, et al.
Published: (2026)

Quasipolynomial inverse theorem for the $\mathsf{U}^4(\mathbb{F}_p^n)$ norm
by: Milićević, Luka
Published: (2024)

Random Cayley graphs and random sumsets
by: Alon, Noga, et al.
Published: (2025)

New lower bounds for three-term progression free sets in $\mathbb{F}_p^n$
by: Elsholtz, Christian, et al.
Published: (2024)

Some zero-sum problems over $\langle x,y \mid x^2 = y^{n/2}, y^n = 1, yx = xy^s \rangle$
by: Ribas, Sávio
Published: (2025)

Understanding ramification of branched {$\mathbb{Z}_p$}-covers
by: Kundu, Debanjana, et al.
Published: (2025)

Essentially tight bounds for rainbow cycles in proper edge-colourings
by: Alon, Noga, et al.
Published: (2023)

Frobenius numbers associated with Diophantine triples of $x^2+y^2=z^r$ (extended version)
by: Komatsu, Takao, et al.
Published: (2024)

Refinements of Van Hamme's (E.2) and (F.2) supercongruences and two supercongruences by Swisher
by: Guo, Victor J. W., et al.
Published: (2025)

Bounds for monochromatic solutions to $\{x+y,xy\}$
by: Green, Ben, et al.
Published: (2025)

Additive structures imply more distances in $\mathbb{F}_q^d$
by: Cheong, Daewoong, et al.
Published: (2025)

Inverse Falconer Distance Theorems over the Integer Residue Rings $\mathbb{Z}_n$
by: Singh, Shalender, et al.
Published: (2026)

On some conjectural supercongruences involving the sequence $t_n(x)$
by: Han, Hui-Li, et al.
Published: (2025)

The number of non-isomorphic arithmetic expressions that can be constructed using +,-,x and /
by: Cohen, Boaz
Published: (2026)

On a conjectural supercongruence involving the dual sequence $s_n(x)$
by: Wang, Chen, et al.
Published: (2025)

Anticoncentration of Random Sums in $\mathbb{Z}_p$
by: Costa, Simone
Published: (2026)

On difference sets of dense subsets of $\mathbb{Z}^2$
by: Goswami, Sayan
Published: (2026)

Remarks on the disproof of the unit distance conjecture
by: Alon, Noga, et al.
Published: (2026)

$q$-Congruences for Z.-W. Sun's generalized polynomials $w^{(α)}_k(x)$
by: Li, Lin-Yue, et al.
Published: (2025)

Circularity in Finite Fields and Solutions of the Equations $\boldsymbol{x^{m}+y^{m}-z^{m}=1}$
by: Ke, Wen-Fong, et al.
Published: (2023)

Proof of two supercongruences of truncated hypergeometric series ${}_4F_3$
by: Mao, Guo-Shuai
Published: (2019)

Monochromatic polynomial sumset structures on $\mathbb{N}$
by: Lian, Zhengxing, et al.
Published: (2024)

The integer hull of the set $\{(x,y)\in \mathbb{R}^2: xy\ge N\}$
by: Balog, Antal, et al.
Published: (2026)

A lattice point counting approach for the study of the number of self-avoiding walks on $\mathbb{Z}^{d}$
by: Lazar, Youssef
Published: (2025)

Ehrhart spectra of large subsets of $\mathbb{Z}^r$
by: Björklund, Michael, et al.
Published: (2025)

The intersection densities of transitive actions of $\operatorname{PSL}_{2}(q)$ with cyclic point stabilizers
by: Behajaina, Angelot, et al.
Published: (2025)

Restricted sumsets in $\mathbb{Z}$
by: Wang, Yujie, et al.
Published: (2024)

Determining Sidon Polynomials on Sidon Sets over $\mathbb{F}_q\times \mathbb{F}_q$
by: Afifurrahman, Muhammad, et al.
Published: (2021)