Irreducibility of the Cuboid Polynomial $P_{a,u}(t)$ via a Rank-Zero Elliptic Curve
Fuente:
arXiv
Saved in:
| Main Author: | Asiryan, Valery |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On the Irreducibility of the Cuboid Polynomial $P_{a,u}(t)$
by: Asiryan, Valery
Published: (2025)
by: Asiryan, Valery
Published: (2025)
Non-Existence of Quintic Factorization for the Second Cuboid Polynomial $Q_{p,q}(t)$
by: Asiryan, Valery
Published: (2026)
by: Asiryan, Valery
Published: (2026)
Non-Existence of Linear-Quartic Factorization for the Second Cuboid Quintic
by: Asiryan, Valery
Published: (2026)
by: Asiryan, Valery
Published: (2026)
Irreducibility of Polynomials with Square Coefficients over Finite Fields
by: Bary-Soroker, Lior, et al.
Published: (2024)
by: Bary-Soroker, Lior, et al.
Published: (2024)
Computational Evidence Against Quadratic-Cubic Factorization for the Second Cuboid Quintic
by: Asiryan, Valery, et al.
Published: (2026)
by: Asiryan, Valery, et al.
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)
On Gauss-Kraitchik formula for cyclotomic polynomials via symmetric functions
by: Yamada, Tomohiro
Published: (2024)
by: Yamada, Tomohiro
Published: (2024)
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)
The Galois Group of $x^{2p}+bx^p+c^p$ over $\mathbb{Q}$
by: Jim, Akash, et al.
Published: (2024)
by: Jim, Akash, et al.
Published: (2024)
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)
Rational $D(q)$-quadruples
by: Dražić, Goran, et al.
Published: (2020)
by: Dražić, Goran, et al.
Published: (2020)
Improvements on dimension growth results and effective Hilbert's irreducibility theorem
by: Cluckers, Raf, et al.
Published: (2023)
by: Cluckers, Raf, et al.
Published: (2023)
Small solutions to inhomogeneous and homogeneous quadratic congruences modulo prime powers
by: Baier, Stephan, et al.
Published: (2024)
by: Baier, Stephan, et al.
Published: (2024)
Reciprocals of Partition Polynomials
by: Chen, Evan, et al.
Published: (2026)
by: Chen, Evan, et al.
Published: (2026)
Denesting cubic radicals
by: Cavallo, Alberto
Published: (2024)
by: Cavallo, Alberto
Published: (2024)
Prime numbers and factorization of polynomials
by: Singh, Jitender
Published: (2024)
by: Singh, Jitender
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)
Nontrivial Solutions to a Cubic Identity and the Factorization of $n^2+n+1$
by: Fejzić, Hajrudin
Published: (2025)
by: Fejzić, Hajrudin
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)
Elementary characterization for Galois groups of $x^{12}+ax^6+b$
by: Chen, Malcolm Hoong Wai
Published: (2024)
by: Chen, Malcolm Hoong Wai
Published: (2024)
Reciprocals of Subsum Polynomials
by: Ballantine, Cristina, et al.
Published: (2026)
by: Ballantine, Cristina, et al.
Published: (2026)
Quartic reductions and elliptic obstructions for perfect Euler bricks
by: Peschmann, René
Published: (2026)
by: Peschmann, René
Published: (2026)
Hyperderivative power sums, Vandermonde matrices, and Carlitz multiplication coefficients
by: Papanikolas, Matthew A.
Published: (2018)
by: Papanikolas, Matthew A.
Published: (2018)
Quadratic Gauss sums over $\mathbb{Z}^n/c\mathbb{Z}^n$: explicit formulas, a duality theorem, and applications to Weil representations and cubic hypersurfaces over $\mathbb{F}_p$
by: Zhu, Xiao-Jie
Published: (2025)
by: Zhu, Xiao-Jie
Published: (2025)
The diagonalization method and Brocard's problem
by: Agama, Theophilus
Published: (2018)
by: Agama, Theophilus
Published: (2018)
Ogg's conjectures over function fields
by: Armana, Cécile, et al.
Published: (2024)
by: Armana, Cécile, et al.
Published: (2024)
A family of accumulation points of non-free rational numbers
by: Buyalos, Christopher, et al.
Published: (2025)
by: Buyalos, Christopher, et al.
Published: (2025)
Counting Polynomials via Galois Actions on Root Subsets
by: Ben-Porath, Or
Published: (2026)
by: Ben-Porath, Or
Published: (2026)
A Survey of Alternative Solutions to the Congruum Problem
by: Johnson, Nathanael
Published: (2025)
by: Johnson, Nathanael
Published: (2025)
Some factorization results for bivariate polynomials
by: Bonciocat, Nicolae Ciprian, et al.
Published: (2024)
by: Bonciocat, Nicolae Ciprian, et al.
Published: (2024)
Regular ternary sums of generalized polygonal numbers
by: Kim, Mingyu
Published: (2026)
by: Kim, Mingyu
Published: (2026)
Generalised quadratic forms over totally real number fields
by: Browning, Tim, et al.
Published: (2022)
by: Browning, Tim, et al.
Published: (2022)
Stretching Newton polygons using pure polynomials
by: Gajek-Leonard, Rylan, et al.
Published: (2024)
by: Gajek-Leonard, Rylan, et al.
Published: (2024)
On the Detection of Non-Roots of D'Arcais Polynomials
by: Heim, Bernhard, et al.
Published: (2025)
by: Heim, Bernhard, et al.
Published: (2025)
Torsion of rank-two $A$-motives values in odd characteristic cyclotomic towers
by: Okumura, Yoshiaki
Published: (2025)
by: Okumura, Yoshiaki
Published: (2025)
Counting integer points on affine surfaces with a side condition
by: Browning, Tim, et al.
Published: (2024)
by: Browning, Tim, 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)
On generalised Pythagorean triples over number fields
by: García, Pedro-José Cazorla
Published: (2025)
by: García, Pedro-José Cazorla
Published: (2025)
Componentwise height bounds for polynomial value-set lifting
by: Shin, Henry
Published: (2026)
by: Shin, Henry
Published: (2026)
Partitions into Triples with Equal Products and Families of Elliptic Curves
by: Youmbai, Ahmed El Amine, et al.
Published: (2024)
by: Youmbai, Ahmed El Amine, et al.
Published: (2024)
Similar Items
-
On the Irreducibility of the Cuboid Polynomial $P_{a,u}(t)$
by: Asiryan, Valery
Published: (2025) -
Non-Existence of Quintic Factorization for the Second Cuboid Polynomial $Q_{p,q}(t)$
by: Asiryan, Valery
Published: (2026) -
Non-Existence of Linear-Quartic Factorization for the Second Cuboid Quintic
by: Asiryan, Valery
Published: (2026) -
Irreducibility of Polynomials with Square Coefficients over Finite Fields
by: Bary-Soroker, Lior, et al.
Published: (2024) -
Computational Evidence Against Quadratic-Cubic Factorization for the Second Cuboid Quintic
by: Asiryan, Valery, et al.
Published: (2026)