Irreducibility of polynomials with random multiplicative coefficients revisited
Fuente:
arXiv
Saved in:
| Main Authors: | Klurman, Oleksiy, Matei, Vlad |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Irreducibility criteria for pairs of polynomials whose resultant is a prime number
by: Bonciocat, Nicolae Ciprian
Published: (2023)
by: Bonciocat, Nicolae Ciprian
Published: (2023)
Irreducibility of Littlewood polynomials of special degrees
by: Bary-Soroker, Lior, et al.
Published: (2023)
by: Bary-Soroker, Lior, et al.
Published: (2023)
A proof of van der Waerden's Conjecture on random Galois groups of polynomials
by: Bhargava, Manjul
Published: (2024)
by: Bhargava, Manjul
Published: (2024)
Distribution of mixed character sums and extremal problems for Littlewood polynomials
by: Bober, Jonathan W., et al.
Published: (2025)
by: Bober, Jonathan W., et al.
Published: (2025)
On the irreducibility of the non-cyclotomic part of most 0,1-polynomials with few terms
by: Filaseta, Michael, et al.
Published: (2025)
by: Filaseta, Michael, et al.
Published: (2025)
There are Salem numbers with trace $-3$ and every degree at least $34$
by: Cherubini, Giacomo, et al.
Published: (2023)
by: Cherubini, Giacomo, et al.
Published: (2023)
Irreducibility and Galois groups of random reciprocal polynomials of large degree
by: Hokken, David, et al.
Published: (2025)
by: Hokken, David, et al.
Published: (2025)
$L_q$ norms and Mahler measure of Fekete polynomials
by: Klurman, Oleksiy, et al.
Published: (2023)
by: Klurman, Oleksiy, et al.
Published: (2023)
Universality theorems for zeros of random real polynomials with fixed coefficients
by: King, Matthew C., et al.
Published: (2024)
by: King, Matthew C., et al.
Published: (2024)
On multiplicatively dependent vectors of polynomial values
by: Young, Marley
Published: (2024)
by: Young, Marley
Published: (2024)
Counting (skew-)reciprocal Littlewood polynomials with square discriminant
by: Hokken, David
Published: (2023)
by: Hokken, David
Published: (2023)
The $t$-metric Mahler measures of surds and rational numbers
by: Samuels, Charles L., et al.
Published: (2014)
by: Samuels, Charles L., et al.
Published: (2014)
Prime numbers and factorization of polynomials
by: Singh, Jitender
Published: (2024)
by: Singh, Jitender
Published: (2024)
Gaussian periods and Shanks' cubic polynomials. II
by: Aoki, Miho
Published: (2025)
by: Aoki, Miho
Published: (2025)
On a polynomial involving quadratic residues modulo primes
by: Sun, Zhi-Wei
Published: (2026)
by: Sun, Zhi-Wei
Published: (2026)
On the irreducibility of $f(2^n,3^m,X)$ and other such polynomials
by: Bary-Soroker, Lior, et al.
Published: (2024)
by: Bary-Soroker, Lior, et al.
Published: (2024)
Irreducibility and locus of complex roots of polynomials related to Fermat's Last Theorem
by: Karapetyan, Hayk, et al.
Published: (2025)
by: Karapetyan, Hayk, et al.
Published: (2025)
Full Galois groups of polynomials with slowly growing coefficients
by: Bary-Soroker, Lior, et al.
Published: (2024)
by: Bary-Soroker, Lior, et al.
Published: (2024)
The $p$-adic limits of iterated $p$-power cyclic resultants of multivariable polynomials
by: Yoshizaki, Hyuga
Published: (2025)
by: Yoshizaki, Hyuga
Published: (2025)
Galois groups of random integer polynomials and van der Waerden's Conjecture
by: Bhargava, Manjul
Published: (2021)
by: Bhargava, Manjul
Published: (2021)
Some factorization results for bivariate polynomials
by: Bonciocat, Nicolae Ciprian, et al.
Published: (2024)
by: Bonciocat, Nicolae Ciprian, et al.
Published: (2024)
Lower bounds for coefficients of certain cyclotomic polynomials
by: Borsanyi, Akos
Published: (2024)
by: Borsanyi, Akos
Published: (2024)
On Dold condition and fail factor of linear recurrent sequences
by: Rajs, Mateusz
Published: (2025)
by: Rajs, Mateusz
Published: (2025)
On the index of power compositional polynomials
by: Kaur, Sumandeep, et al.
Published: (2024)
by: Kaur, Sumandeep, et al.
Published: (2024)
Gaps in binary cyclotomic polynomials
by: Cafure, Antonio, et al.
Published: (2025)
by: Cafure, Antonio, et al.
Published: (2025)
Galois groups of reciprocal polynomials II: Twisted reciprocal polynomials
by: Anderson, Theresa C., et al.
Published: (2026)
by: Anderson, Theresa C., et al.
Published: (2026)
On Gauss-Kraitchik formula for cyclotomic polynomials via symmetric functions
by: Yamada, Tomohiro
Published: (2024)
by: Yamada, Tomohiro
Published: (2024)
Galois module structure of algebraic integers of cyclic cubic fields
by: Aoki, Miho
Published: (2024)
by: Aoki, Miho
Published: (2024)
Some remarks about the minimal polynomials of $4{\sin ^2}\left( {\frac{π}{n}} \right)$
by: Cigler, Johann
Published: (2025)
by: Cigler, Johann
Published: (2025)
Galois groups of certain even octic polynomials
by: Chen, Malcolm Hoong Wai, et al.
Published: (2022)
by: Chen, Malcolm Hoong Wai, et al.
Published: (2022)
Galois groups of reciprocal polynomials and the van der Waerden-Bhargava theorem
by: Anderson, Theresa C., et al.
Published: (2024)
by: Anderson, Theresa C., et al.
Published: (2024)
Discriminants and Large Pólya Groups in Septic Number Fields
by: Mahapatra, Nimish Kumar
Published: (2025)
by: Mahapatra, Nimish Kumar
Published: (2025)
Counting polynomials with positive roots
by: Yatsyna, Pavlo, et al.
Published: (2025)
by: Yatsyna, Pavlo, et al.
Published: (2025)
A class of Drinfeld $A$-modules of rank $3$ with surjective Galois representations
by: Kumar, Narasimha, et al.
Published: (2025)
by: Kumar, Narasimha, et al.
Published: (2025)
Small values of signed harmonic sums and logarithmic means of multiplicative functions
by: Klurman, Oleksiy, et al.
Published: (2026)
by: Klurman, Oleksiy, et al.
Published: (2026)
On the arithmetic of polynomials over a number field
by: Duke, William
Published: (2024)
by: Duke, William
Published: (2024)
Stretching Newton polygons using pure polynomials
by: Gajek-Leonard, Rylan, et al.
Published: (2024)
by: Gajek-Leonard, Rylan, et al.
Published: (2024)
Infinitely Many Counter Examples of a Conjecture of Franušić and Jadrijević
by: Gupta, Shubham
Published: (2025)
by: Gupta, Shubham
Published: (2025)
Diophantine $D(n)$-quadruples in $\mathbb{Z}[\sqrt{4k + 2}]$
by: Chakraborty, Kalyan, et al.
Published: (2023)
by: Chakraborty, Kalyan, et al.
Published: (2023)
Vieta jumping and small norms in quadratic number fields
by: Lemmermeyer, Franz
Published: (2026)
by: Lemmermeyer, Franz
Published: (2026)
Similar Items
-
Irreducibility criteria for pairs of polynomials whose resultant is a prime number
by: Bonciocat, Nicolae Ciprian
Published: (2023) -
Irreducibility of Littlewood polynomials of special degrees
by: Bary-Soroker, Lior, et al.
Published: (2023) -
A proof of van der Waerden's Conjecture on random Galois groups of polynomials
by: Bhargava, Manjul
Published: (2024) -
Distribution of mixed character sums and extremal problems for Littlewood polynomials
by: Bober, Jonathan W., et al.
Published: (2025) -
On the irreducibility of the non-cyclotomic part of most 0,1-polynomials with few terms
by: Filaseta, Michael, et al.
Published: (2025)