Improving the trivial bound for $\ell$-torsion in class groups
Fuente:
arXiv
Saved in:
| Main Authors: | Oliver, Robert J. Lemke, Zaman, Asif |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Fields with small class group in the family $\mathbb{Q}(\sqrt{9m^2+2m})$
by: Chakraborty, Kalyan, et al.
Published: (2025)
by: Chakraborty, Kalyan, et al.
Published: (2025)
An asymptotic on the logarithms of the relative class numbers of imaginary abelian number fields of prime conductor and large degree
by: Louboutin, Stéphane
Published: (2025)
by: Louboutin, Stéphane
Published: (2025)
Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields
by: Kandhil, Neelam, et al.
Published: (2024)
by: Kandhil, Neelam, et al.
Published: (2024)
Lower bounds on the $\ell$-rank of ideal class groups
by: Martin, Daniel E.
Published: (2025)
by: Martin, Daniel E.
Published: (2025)
Effective Brauer-Siegel theorems for Artin $L$-functions
by: Cho, Peter J., et al.
Published: (2025)
by: Cho, Peter J., et al.
Published: (2025)
Absolutely Abelian Hilbert Class Fields and $\ell-$torsion conjecture
by: Ram, Mahesh Kumar, et al.
Published: (2025)
by: Ram, Mahesh Kumar, et al.
Published: (2025)
A note on arithmetic congruences
by: Fellini, Nic
Published: (2025)
by: Fellini, Nic
Published: (2025)
The mean number of $2$-torsion elements in the class groups of cubic orders
by: Swaminathan, Ashvin
Published: (2022)
by: Swaminathan, Ashvin
Published: (2022)
A short remark on the $\ell$-torsion part of class groups
by: Widmer, Martin
Published: (2026)
by: Widmer, Martin
Published: (2026)
A heuristic for ray class groups of quadratic number fields
by: Bartel, Alex, et al.
Published: (2025)
by: Bartel, Alex, et al.
Published: (2025)
Hecke reciprocity and class groups
by: Shnidman, Ari, et al.
Published: (2025)
by: Shnidman, Ari, et al.
Published: (2025)
Equivariant Iwasawa Theory for Ritter-Weiss Modules and Applications
by: Gambheera, Rusiru, et al.
Published: (2025)
by: Gambheera, Rusiru, et al.
Published: (2025)
An Integral Equivariant Refinement of the Iwasawa Main Conjecture for Totally Real Fields
by: Gambheera, Rusiru
Published: (2025)
by: Gambheera, Rusiru
Published: (2025)
The least prime with a given cycle type
by: Cho, Peter J., et al.
Published: (2025)
by: Cho, Peter J., et al.
Published: (2025)
Arakelov class groups of random number fields
by: Bartel, Alex, et al.
Published: (2020)
by: Bartel, Alex, et al.
Published: (2020)
Stability of 2-class groups in the $\mathbb{Z}_2$-extension of certain real biquadratic fields
by: Laxmi, H, et al.
Published: (2025)
by: Laxmi, H, et al.
Published: (2025)
Breaking the 4 barrier for the bound of a generating set of the class group
by: Grenié, Loïc, et al.
Published: (2022)
by: Grenié, Loïc, et al.
Published: (2022)
On the $p$-ranks of class groups of certain Galois extensions
by: Asarhasa, Ufuoma, et al.
Published: (2024)
by: Asarhasa, Ufuoma, et al.
Published: (2024)
Field change for the Cassels-Tate pairing and applications to class groups
by: Morgan, Adam, et al.
Published: (2022)
by: Morgan, Adam, et al.
Published: (2022)
Rank of elliptic curves and class groups of real quadratic fields
by: Banerjee, Kalyan
Published: (2026)
by: Banerjee, Kalyan
Published: (2026)
The second moment of the size of the $2$-class group of monogenized cubic fields
by: Bhargava, Manjul, et al.
Published: (2025)
by: Bhargava, Manjul, et al.
Published: (2025)
$\mathbb{Z}_2$-extension of real quadratic fields with $\mathbb{Z}/2\mathbb{Z}$ as $2$-class group at each layer
by: Laxmi, H, et al.
Published: (2023)
by: Laxmi, H, et al.
Published: (2023)
On cohomology groups $ H^{1} $ of $ G-$modules of finite type over cyclic groups
by: Qiu, Derong
Published: (2015)
by: Qiu, Derong
Published: (2015)
Class group statistics for torsion fields generated by elliptic curves
by: Ray, Anwesh, et al.
Published: (2022)
by: Ray, Anwesh, et al.
Published: (2022)
On the 3-rank of the class group of quadratic fields
by: Chen, Shi-Chao, et al.
Published: (2025)
by: Chen, Shi-Chao, et al.
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)
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)
The existence of infinitely many cubic fields with class group of exact 2-rank 1
by: Bhargava, Manjul, et al.
Published: (2026)
by: Bhargava, Manjul, et al.
Published: (2026)
Ideal class groups of some quadratic number fields and factorization of values of some quadratic polynomials
by: Louboutin, Stéphane
Published: (2025)
by: Louboutin, Stéphane
Published: (2025)
A Number Field Analogue of Ramanujan's identity for $ζ(2m+1)$
by: Bansal, Diksha Rani, et al.
Published: (2024)
by: Bansal, Diksha Rani, et al.
Published: (2024)
$\ell$-Torsion in Class Groups via Dirichlet $L$-functions
by: Heath-Brown, D. R.
Published: (2024)
by: Heath-Brown, D. R.
Published: (2024)
An upper bound for the size of the ideal class monoid
by: Cho, Sungmun, et al.
Published: (2025)
by: Cho, Sungmun, et al.
Published: (2025)
The divisibility of the class number of the imaginary quadratic fields $\mathbb{Q}(\sqrt{1-2m^k})$
by: Krishnamoorthy, Srilakshmi, et al.
Published: (2021)
by: Krishnamoorthy, Srilakshmi, et al.
Published: (2021)
Iwasawa invariants and class number parity of multi-quadratic number fields
by: Li, Qinhao, et al.
Published: (2026)
by: Li, Qinhao, et al.
Published: (2026)
Dedekind zeta functions of non-Galois torsion fields of elliptic curves
by: Pollack, Robert, et al.
Published: (2026)
by: Pollack, Robert, et al.
Published: (2026)
Unramified Iwasawa module of $\mathbb{Z}_2$-extension of certain quadratic fields with a bounded quotient
by: Laxmi, H, et al.
Published: (2024)
by: Laxmi, H, et al.
Published: (2024)
Ring class fields and a result of Hasse
by: Evans, R., et al.
Published: (2024)
by: Evans, R., et al.
Published: (2024)
Boundary CM points and class groups of small exponent
by: Aiken, David, et al.
Published: (2026)
by: Aiken, David, et al.
Published: (2026)
Upper bounds on class numbers of real quadratic fields
by: Bernardini, Riccardo
Published: (2025)
by: Bernardini, Riccardo
Published: (2025)
Infinite class field tower with small root discriminant
by: Liu, Qi, et al.
Published: (2024)
by: Liu, Qi, et al.
Published: (2024)
Similar Items
-
Fields with small class group in the family $\mathbb{Q}(\sqrt{9m^2+2m})$
by: Chakraborty, Kalyan, et al.
Published: (2025) -
An asymptotic on the logarithms of the relative class numbers of imaginary abelian number fields of prime conductor and large degree
by: Louboutin, Stéphane
Published: (2025) -
Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields
by: Kandhil, Neelam, et al.
Published: (2024) -
Lower bounds on the $\ell$-rank of ideal class groups
by: Martin, Daniel E.
Published: (2025) -
Effective Brauer-Siegel theorems for Artin $L$-functions
by: Cho, Peter J., et al.
Published: (2025)