:: Library Catalog

Cover Image

Saved in:

Bibliographic Details
Main Authors:	Chakraborty, Kalyan, Krishnamoorthy, Krishnarjun
Format:	Preprint
Published:	2021
Subjects:	Number Theory 11R29, 11A07
Online Access:	https://arxiv.org/abs/2107.12123
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Diophantine tuples and Integral Ideals of $\mathbb{Q}(\sqrt{d})$
by: Chakraborty, 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)

The divisibility of the class number of the imaginary quadratic fields $\mathbb{Q}(\sqrt{1-2m^k})$
by: Krishnamoorthy, Srilakshmi, et al.
Published: (2021)

Class number of real quadratic fields of explicit discriminant
by: Bernardini, Riccardo
Published: (2024)

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

Moments of non-normal number fields -- II
by: Krishnamoorthy, Krishnarjun
Published: (2023)

On the simultaneous $3$-divisibility of class numbers of quadruples of real quadratic fields
by: Banerjee, Kalyan, et al.
Published: (2025)

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

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

On $p$-adic congruences involving $\sqrt d$
by: Jiang, Bo, et al.
Published: (2025)

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

Class numbers of Imaginary bicyclic biquadratic number fields
by: Jakhar, Anuj, et al.
Published: (2025)

Number Fields With Large Pólya Groups
by: Akbary, Amir, 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)

A Generalization of the Grunwald-Wang Theorem for $n^{th}$ Powers
by: Mishra, Bhawesh
Published: (2024)

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

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

On $ p-$Rationality of Cubic and Quartic Number Fields
by: Li, Hang, et al.
Published: (2023)

On Pólya groups of some non-Galois number fields
by: Maarefparvar, Abbas
Published: (2024)

Discriminants and Large Pólya Groups in Septic Number Fields
by: Mahapatra, Nimish Kumar
Published: (2025)

$\ell$-Torsion in Class Groups via Dirichlet $L$-functions
by: Heath-Brown, D. R.
Published: (2024)

Absolutely Abelian Hilbert Class Fields and $\ell-$torsion conjecture
by: Ram, Mahesh Kumar, et al.
Published: (2025)

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

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

Arithmetic Aspects of Number Fields Generated by Polynomial Families
by: Barman, Rupam, 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)

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

Upper bounds on class numbers of real quadratic fields
by: Bernardini, Riccardo
Published: (2025)

Explicit Approximations to Class Field Towers
by: Bleher, Frauke M., et al.
Published: (2023)

Machine Learning Class Numbers of Real Quadratic Fields
by: Amir, Malik, et al.
Published: (2022)

Class group statistics for torsion fields generated by elliptic curves
by: Ray, Anwesh, et al.
Published: (2022)

The distribution of the multiplicative index of algebraic numbers over residue classes
by: Moree, Pieter, et al.
Published: (2023)

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

A heuristic for ray class groups of quadratic number fields
by: Bartel, Alex, 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)

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

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

Unit-generated orders of real quadratic fields I. Class number bounds
by: Kopp, Gene S., et al.
Published: (2025)

Cubic residuacity of real quadratic integers
by: Evans, Ron, et al.
Published: (2025)

A necessary condition for $2p$ to be congruent for a prime $p \equiv 5 \pmod 8$
by: Ghosh, Arkabrata
Published: (2024)