Parameterized families of quadratic fields with $n$-rank at least 2
Fuente:
arXiv
Saved in:
| Main Authors: | Hoque, Azizul, Kotyada, Srinivas |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On the simultaneous $3$-divisibility of class numbers of quadruples of real quadratic fields
by: Banerjee, Kalyan, et al.
Published: (2025)
by: Banerjee, Kalyan, et al.
Published: (2025)
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)
Counting Imaginary Quadratic Fields with an Ideal Class Group of 5-rank at least 2
by: Bartz, Kollin, et al.
Published: (2025)
by: Bartz, Kollin, et al.
Published: (2025)
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)
A note on rank zero quadratic twists of a Mordell curve
by: Chutia, Ankurjyoti, et al.
Published: (2019)
by: Chutia, Ankurjyoti, et al.
Published: (2019)
A heuristic for ray class groups of quadratic number fields
by: Bartel, Alex, et al.
Published: (2025)
by: Bartel, Alex, 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)
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)
$\mathbb{Z}_2$-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)
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)
Picard groups, pull back and class groups
by: Banerjee, Kalyan, et al.
Published: (2019)
by: Banerjee, Kalyan, et al.
Published: (2019)
Class number of real quadratic fields of explicit discriminant
by: Bernardini, Riccardo
Published: (2024)
by: Bernardini, Riccardo
Published: (2024)
Greenberg's conjecture for real quadratic number fields
by: Mercuri, Pietro, et al.
Published: (2025)
by: Mercuri, Pietro, et al.
Published: (2025)
Rank of elliptic curves and class groups of real quadratic fields
by: Banerjee, Kalyan
Published: (2026)
by: Banerjee, Kalyan
Published: (2026)
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)
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)
Class numbers of Imaginary bicyclic biquadratic number fields
by: Jakhar, Anuj, et al.
Published: (2025)
by: Jakhar, Anuj, et al.
Published: (2025)
Upper bounds on class numbers of real quadratic fields
by: Bernardini, Riccardo
Published: (2025)
by: Bernardini, Riccardo
Published: (2025)
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)
Ring class fields and a result of Hasse
by: Evans, R., et al.
Published: (2024)
by: Evans, R., et al.
Published: (2024)
Unit-generated orders of real quadratic fields I. Class number bounds
by: Kopp, Gene S., et al.
Published: (2025)
by: Kopp, Gene S., et al.
Published: (2025)
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)
On cohomology groups $ H^{1} $ of $ G-$modules of finite type over cyclic groups
by: Qiu, Derong
Published: (2015)
by: Qiu, Derong
Published: (2015)
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)
Diophantine $D(n)$-quadruples in $\mathbb{Z}[\sqrt{4k + 2}]$
by: Chakraborty, Kalyan, et al.
Published: (2023)
by: Chakraborty, Kalyan, et al.
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)
Arakelov class groups of random number fields
by: Bartel, Alex, et al.
Published: (2020)
by: Bartel, Alex, et al.
Published: (2020)
On Pólya groups of some non-Galois number fields
by: Maarefparvar, Abbas
Published: (2024)
by: Maarefparvar, Abbas
Published: (2024)
On the distribution of shapes of totally real multiquadratic number fields
by: Jakhar, Anuj, et al.
Published: (2026)
by: Jakhar, Anuj, et al.
Published: (2026)
Dirichlet's Lemma in Number Fields
by: Lemmermeyer, Franz
Published: (2025)
by: Lemmermeyer, Franz
Published: (2025)
A note on extended genus fields of Kummer extensions of rational function fields
by: Rzedowski-Calderón, Martha, et al.
Published: (2024)
by: Rzedowski-Calderón, Martha, et al.
Published: (2024)
Harmonic analysis approach to the relative Riemann-Roch theorem on global fields
by: Czerniawska, Weronika
Published: (2022)
by: Czerniawska, Weronika
Published: (2022)
An elementary formulation of Kubota's proof of Satz 4 about biquadratic number fields
by: Boulanger, Jacques, et al.
Published: (2024)
by: Boulanger, Jacques, et al.
Published: (2024)
Number Fields With Large Pólya Groups
by: Akbary, Amir, et al.
Published: (2025)
by: Akbary, Amir, 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)
Infinite class field tower with small root discriminant
by: Liu, Qi, et al.
Published: (2024)
by: Liu, Qi, et al.
Published: (2024)
Geometry-of-numbers methods over global fields II: Coregular representations
by: Bhargava, Manjul, et al.
Published: (2026)
by: Bhargava, Manjul, et al.
Published: (2026)
A formula of counting divisors in integers rings: a generalization of the divisor function $d_0(n)$
by: Martínez-Avelar, Ángel, et al.
Published: (2026)
by: Martínez-Avelar, Ángel, et al.
Published: (2026)
Geometry-of-numbers methods over global fields I: Prehomogeneous vector spaces
by: Bhargava, Manjul, et al.
Published: (2015)
by: Bhargava, Manjul, et al.
Published: (2015)
Similar Items
-
On the simultaneous $3$-divisibility of class numbers of quadruples of real quadratic fields
by: Banerjee, Kalyan, et al.
Published: (2025) -
Fields with small class group in the family $\mathbb{Q}(\sqrt{9m^2+2m})$
by: Chakraborty, Kalyan, et al.
Published: (2025) -
Counting Imaginary Quadratic Fields with an Ideal Class Group of 5-rank at least 2
by: Bartz, Kollin, et al.
Published: (2025) -
On the 3-rank of the class group of quadratic fields
by: Chen, Shi-Chao, et al.
Published: (2025) -
A note on rank zero quadratic twists of a Mordell curve
by: Chutia, Ankurjyoti, et al.
Published: (2019)