Cover Image

Fields with small class group in the family $\mathbb{Q}(\sqrt{9m^2+2m})$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chakraborty, Kalyan, Hoque, Azizul
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11R29, 11R42
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Parameterized families of quadratic fields with $n$-rank at least 2
by: Hoque, Azizul, et al.
Published: (2024)

Picard groups, pull back and class groups
by: Banerjee, Kalyan, et al.
Published: (2019)

Branched covers of $\mathbb{P}^1$ and divisibility in class group
by: Banerjee, Kalyan, et al.
Published: (2026)

On the simultaneous $3$-divisibility of class numbers of quadruples of real quadratic fields
by: Banerjee, Kalyan, 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)

Diophantine $D(n)$-quadruples in $\mathbb{Z}[\sqrt{4k + 2}]$
by: Chakraborty, Kalyan, et al.
Published: (2023)

Improving the trivial bound for $\ell$-torsion in class groups
by: Oliver, Robert J. Lemke, et al.
Published: (2025)

A Number Field Analogue of Ramanujan's identity for $ζ(2m+1)$
by: Bansal, Diksha Rani, et al.
Published: (2024)

Rank of elliptic curves and class groups of real quadratic fields
by: Banerjee, Kalyan
Published: (2026)

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)

$\mathbb{Z}_2$-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)

Stability of 2-class groups in the $\mathbb{Z}_2$-extension of certain real biquadratic fields
by: Laxmi, H, et al.
Published: (2025)

Explicit upper bounds on the average of Euler-Kronecker constants of narrow ray class fields
by: Kandhil, Neelam, et al.
Published: (2024)

On some symmetries of the base $ n $ expansion of $ 1/m $ : The Class Number connection
by: Chakraborty, Kalyan, et al.
Published: (2021)

Consecutive pure fields of the form $\mathbb{Q}\left(\sqrt[l]{a}\right)$ with large class numbers
by: Das, Jishu, et al.
Published: (2025)

An Integral Equivariant Refinement of the Iwasawa Main Conjecture for Totally Real Fields
by: Gambheera, Rusiru
Published: (2025)

A note on arithmetic congruences
by: Fellini, Nic
Published: (2025)

Field change for the Cassels-Tate pairing and applications to class groups
by: Morgan, Adam, et al.
Published: (2022)

The second moment of the size of the $2$-class group of monogenized cubic fields
by: Bhargava, Manjul, et al.
Published: (2025)

A heuristic for ray class groups of quadratic number fields
by: Bartel, Alex, et al.
Published: (2025)

Boundary CM points and class groups of small exponent
by: Aiken, David, et al.
Published: (2026)

Hecke reciprocity and class groups
by: Shnidman, Ari, et al.
Published: (2025)

The existence of infinitely many cubic fields with class group of exact 2-rank 1
by: Bhargava, Manjul, et al.
Published: (2026)

Infinite class field tower with small root discriminant
by: Liu, Qi, et al.
Published: (2024)

Equivariant Iwasawa Theory for Ritter-Weiss Modules and Applications
by: Gambheera, Rusiru, et al.
Published: (2025)

Arakelov class groups of random number fields
by: Bartel, Alex, et al.
Published: (2020)

Unramified Iwasawa module of $\mathbb{Z}_2$-extension of certain quadratic fields with a bounded quotient
by: Laxmi, H, et al.
Published: (2024)

On the $p$-ranks of class groups of certain Galois extensions
by: Asarhasa, Ufuoma, et al.
Published: (2024)

Diophantine tuples and Integral Ideals of $\mathbb{Q}(\sqrt{d})$
by: Chakraborty, Kalyan, et al.
Published: (2025)

Iwasawa Invariants of Even $K$-groups of Rings of Integers in the $\mathbb{Z}_2$-extension over Real Quadratic Number Fields
by: Deng, Li-Tong, et al.
Published: (2026)

Counting Imaginary Quadratic Fields with an Ideal Class Group of 5-rank at least 2
by: Bartz, Kollin, et al.
Published: (2025)

On cohomology groups $ H^{1} $ of $ G-$modules of finite type over cyclic groups
by: Qiu, Derong
Published: (2015)

On the 3-rank of the class group of quadratic fields
by: Chen, Shi-Chao, et al.
Published: (2025)

The mean number of $2$-torsion elements in the class groups of cubic orders
by: Swaminathan, Ashvin
Published: (2022)

Ideal class groups of some quadratic number fields and factorization of values of some quadratic polynomials
by: Louboutin, Stéphane
Published: (2025)

Dirichlet's Lemma in Number Fields
by: Lemmermeyer, Franz
Published: (2025)

Iwasawa invariants and class number parity of multi-quadratic number fields
by: Li, Qinhao, et al.
Published: (2026)

An improved error term for counting $D_4$-quartic fields
by: McGown, Kevin J., et al.
Published: (2023)

Number Fields With Large Pólya Groups
by: Akbary, Amir, et al.
Published: (2025)

Ring class fields and a result of Hasse
by: Evans, R., et al.
Published: (2024)