Cover Image

The inverse stability of Artin-Schreier polynomials over finite fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Cheng, Kaimin
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11T06
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The $3$-sparsity of $X^n-1$ over finite fields, II
by: Cheng, Kaimin
Published: (2025)

Normal points on Artin-Schreier curves over finite fields
by: Kapetanakis, Giorgos, et al.
Published: (2024)

Hilbert's Theorem 90, periodicity, and roots of Artin-Schreier polynomials
by: Glasby, S. P.
Published: (2025)

Powerful Fibonacci polynomials over finite fields
by: Bates, Graeme, et al.
Published: (2026)

Complete Walsh spectra for a permutation-inverse family of Boolean functions
by: Cheng, Kaimin
Published: (2026)

The $3$-sparsity of $X^n-1$ over finite fields
by: Cheng, Kaimin
Published: (2025)

A further study of polynomial $g_{n,q}$ over finite fields
by: Fernando, Neranga, et al.
Published: (2026)

Reversed Dickson polynomials of the $(k+1)$-th kind over finite fields, II
by: Fernando, Neranga
Published: (2017)

Ranges of polynomials control degree ranks of Green and Tao over finite prime fields
by: Karam, Thomas
Published: (2023)

Intersecting families of polynomials over finite fields
by: Salia, Nika, et al.
Published: (2024)

Improving bounds for value sets of polynomials over finite fields
by: Li, Jiyou, et al.
Published: (2026)

Product representations of polynomials over finite fields
by: Lee, Hyunwoo, et al.
Published: (2026)

On $2$-superirreducible polynomials over finite fields
by: Bober, Jonathan W., et al.
Published: (2023)

On the Weil descent of Artin-Schreier algebraic function fields over finite fields
by: Ballet, Stéphane, et al.
Published: (2025)

Closed formulas for the factorization of $X^n-1$, the $n$-th cyclotomic polynomial, $X^n-a$ and $f(X^n)$ over a finite field for arbitrary positive integers $n$
by: Graner, Anna-Maurin
Published: (2023)

Expansion properties of polynomials over finite fields
by: Arala, Nuno, et al.
Published: (2024)

Powers of the Cartier operator on Artin-Schreier covers
by: Groen, Steven R.
Published: (2022)

$F$-Diophantine sets over finite fields
by: Yip, Chi Hoi, et al.
Published: (2024)

New permutation polynomials over $\mathbb{F}_{q^2}$
by: Pang, Xuan, et al.
Published: (2025)

Construction of Permutation Polynomials over Finite Fields with the help of SCR polynomials
by: Sharma, Bidushi, et al.
Published: (2024)

Permutation Polynomials of the form $L(X)+γTr_q^{q^3}(h(X))$ over finite fields with even characteristic
by: Pang, Xuan, et al.
Published: (2025)

Permutation polynomials over finite fields from low-degree rational functions
by: Garg, Kirpa, et al.
Published: (2025)

A strengthening of McConnel's theorem on permutations over finite fields
by: Yip, Chi Hoi
Published: (2024)

Orthomorphism Polynomials of degree $7$ over finite fields
by: Kousik, Bhitali, et al.
Published: (2025)

Multiplicative character sums over two classes of subsets of quadratic extensions of finite fields
by: Cheng, Kaimin, et al.
Published: (2025)

Incidence geometry and polynomial expansion over finite fields
by: Arala, Nuno, et al.
Published: (2024)

Artin-Schreier-Witt extensions and ramification breaks
by: Elder, G. Griffith, et al.
Published: (2025)

Inverses of six classes of permutation polynomials of the form $x+γ\operatorname{Tr}_q^{q^2}(h(x))$ over finite fields of even characteristic
by: Singh, Rajesh P., et al.
Published: (2026)

Orthogonality of non-pretentious functions to polynomials over Function Fields
by: Meilin, Tal
Published: (2025)

Artin-Schreier towers of finite fields
by: Cagliero, Leandro, et al.
Published: (2024)

Bilinear Kloosterman sums in function fields and the distribution of irreducible polynomials
by: Bagshaw, Christian
Published: (2024)

Zeros of special polynomials and their impact on a class of APN functions
by: Bartoli, Daniele, et al.
Published: (2025)

Furstenberg--Sárközy theorem and partition regularity of polynomial equations over finite fields
by: Ackelsberg, Ethan, et al.
Published: (2023)

Non-splitting bi-unitary perfect polynomials over $\mathbb{F}_4$ with less than five prime factors
by: Rahavandrainy, Olivier
Published: (2024)

Short Salem polynomials
by: McKee, James, et al.
Published: (2026)

Permutation polynomials of the form $x+γ\mathrm{Tr}(H(x))$
by: Li, Yangcheng, et al.
Published: (2025)

The alternative to Mahler measure of a multivariate polynomial
by: Stankov, Dragan
Published: (2025)

Permutation polynomials, projective polynomials, and bijections between $μ_{\frac{q^n-1}{q-1}}$ and $PG(n-1,q)$
by: Lin, Tong, et al.
Published: (2025)

An exact family of bivariate polynomials and Variants of Chinburg's Conjectures
by: Bertin, Marie-José, et al.
Published: (2024)

Approximation of the number of nonunimodular zeros of a self-reciprocal polynomial
by: Stankov, Dragan
Published: (2025)