Counting Polynomials via Galois Actions on Root Subsets
Fuente:
arXiv
Saved in:
| Main Author: | Ben-Porath, Or |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On the Detection of Non-Roots of D'Arcais Polynomials
by: Heim, Bernhard, et al.
Published: (2025)
by: Heim, Bernhard, et al.
Published: (2025)
Explicit Prime Densities for the Rank of Appearance in Lucas Sequences
by: Da Conceição, Joaquim Cera
Published: (2026)
by: Da Conceição, Joaquim Cera
Published: (2026)
Cubic Polynomials and Sums of Two Squares
by: Iyer, Siddharth
Published: (2025)
by: Iyer, Siddharth
Published: (2025)
A proof of van der Waerden's Conjecture on random Galois groups of polynomials
by: Bhargava, Manjul
Published: (2024)
by: Bhargava, Manjul
Published: (2024)
Counting (skew-)reciprocal Littlewood polynomials with square discriminant
by: Hokken, David
Published: (2023)
by: Hokken, David
Published: (2023)
An infinite family of pairs of distinct quartic Galois CM-fields with the same discriminant and regulator
by: Iizuka, Yoshichika, et al.
Published: (2025)
by: Iizuka, Yoshichika, et al.
Published: (2025)
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)
On the surjectivity of $(T)$-adic Galois Representations of Drinfeld $A$-Modules of Rank 2 and 3: Density results
by: Kumar, Narasimha, et al.
Published: (2026)
by: Kumar, Narasimha, et al.
Published: (2026)
Lower bounds for the number of number fields with Galois group $GL_2(\mathbb{F}_\ell)$
by: Ray, Anwesh
Published: (2023)
by: Ray, Anwesh
Published: (2023)
Counting $C_2 \wr S_4$ fields with a power saving error term
by: Bose, Sambhabi, et al.
Published: (2025)
by: Bose, Sambhabi, et al.
Published: (2025)
Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves
by: Hatley, Jeffrey, et al.
Published: (2021)
by: Hatley, Jeffrey, et al.
Published: (2021)
Statistics for 3-isogeny induced Selmer groups of elliptic curves
by: Shingavekar, Pratiksha
Published: (2024)
by: Shingavekar, Pratiksha
Published: (2024)
Galois groups of random integer polynomials and van der Waerden's Conjecture
by: Bhargava, Manjul
Published: (2021)
by: Bhargava, Manjul
Published: (2021)
Selmer stability in families of congruent Galois representations
by: Ray, Anwesh
Published: (2025)
by: Ray, Anwesh
Published: (2025)
Class group statistics for torsion fields generated by elliptic curves
by: Ray, Anwesh, et al.
Published: (2022)
by: Ray, Anwesh, 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)
An elementary proof of the theorem on the imaginary quadratic fields with class number 1
by: Carter, James E.
Published: (2024)
by: Carter, James E.
Published: (2024)
An improved error term for counting $D_4$-quartic fields
by: McGown, Kevin J., et al.
Published: (2023)
by: McGown, Kevin J., et al.
Published: (2023)
Norm relations and computational problems in number fields
by: Biasse, Jean-François, et al.
Published: (2020)
by: Biasse, Jean-François, et al.
Published: (2020)
Diophantine stability for elliptic curves on average
by: Ray, Anwesh, et al.
Published: (2023)
by: Ray, Anwesh, et al.
Published: (2023)
The average genus number for pure fields of prime degree
by: Bose, Sambhabi, et al.
Published: (2025)
by: Bose, Sambhabi, et al.
Published: (2025)
Unconditional results for Artin-type problems over number fields
by: Sgobba, Pietro
Published: (2025)
by: Sgobba, Pietro
Published: (2025)
On $\ell$-torsion in degree $\ell$ superelliptic Jacobians over $\mathbf{F}_q$
by: Li, Wanlin, et al.
Published: (2024)
by: Li, Wanlin, et al.
Published: (2024)
Galois cohomology of elliptic curves over anticyclotomic extensions
by: Nguyen, Dac-Nhan-Tam, et al.
Published: (2025)
by: Nguyen, Dac-Nhan-Tam, et al.
Published: (2025)
Extending bounds on minimal ranks of universal quadratic lattices to larger number fields
by: Doležálek, Matěj
Published: (2025)
by: Doležálek, Matěj
Published: (2025)
On characterization of Monogenic number fields associated with certain quadrinomials and its applications
by: Chatterjee, Tapas, et al.
Published: (2024)
by: Chatterjee, Tapas, et al.
Published: (2024)
On characterization of prime divisors of the index of a quadrinomial
by: Chatterjee, Tapas, et al.
Published: (2024)
by: Chatterjee, Tapas, et al.
Published: (2024)
On counting totally imaginary number fields
by: Raghuram, A., et al.
Published: (2024)
by: Raghuram, A., et al.
Published: (2024)
On the asymptotics of elementary-abelian extensions of local and global function fields
by: Potthast, Nicolas
Published: (2024)
by: Potthast, Nicolas
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)
Presentations of Galois groups of maximal extensions with restricted ramification
by: Liu, Yuan
Published: (2020)
by: Liu, Yuan
Published: (2020)
Counting torsors for wild abelian groups
by: Darda, Ratko, et al.
Published: (2025)
by: Darda, Ratko, 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)
A Hilbert 90 Property for S-Class Groups and Applications to the Gross--Kuz'min Conjecture
by: Feuerpfeil, Julian
Published: (2025)
by: Feuerpfeil, Julian
Published: (2025)
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)
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)
Quadratic units and cubic fields
by: Breuer, Florian, et al.
Published: (2025)
by: Breuer, Florian, et al.
Published: (2025)
Non-vanishing of Artin $L$-functions associated with $D_4$-quartic function fields ordered by conductor
by: Ahlquist, Victor
Published: (2025)
by: Ahlquist, Victor
Published: (2025)
On the counting function of cubic function fields
by: Ahlquist, Victor
Published: (2025)
by: Ahlquist, Victor
Published: (2025)
Normal integral bases of Lehmer's cyclic quintic fields
by: Hashimoto, Yu, et al.
Published: (2022)
by: Hashimoto, Yu, et al.
Published: (2022)
Similar Items
-
On the Detection of Non-Roots of D'Arcais Polynomials
by: Heim, Bernhard, et al.
Published: (2025) -
Explicit Prime Densities for the Rank of Appearance in Lucas Sequences
by: Da Conceição, Joaquim Cera
Published: (2026) -
Cubic Polynomials and Sums of Two Squares
by: Iyer, Siddharth
Published: (2025) -
A proof of van der Waerden's Conjecture on random Galois groups of polynomials
by: Bhargava, Manjul
Published: (2024) -
Counting (skew-)reciprocal Littlewood polynomials with square discriminant
by: Hokken, David
Published: (2023)