Cover Image

Ray class groups and ray class fields for orders of number fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kopp, Gene S., Lagarias, Jeffrey C.
Format:	Preprint
Published:	2022
Subjects:	Number Theory 11R37 (primary), 11R54 (secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

The Shintani--Faddeev modular cocycle: Stark units from $q$-Pochhammer ratios
by: Kopp, Gene S.
Published: (2024)

On the growth of Tate-Shafarevich groups of $p$-supersingular abelian varieties of ${\rm GL}_2$-type over $\mathbb{Z}_p$-extensions of number fields
by: Isik, Erman, et al.
Published: (2025)

SIC-POVMs and orders of real quadratic fields
by: Kopp, Gene S., et al.
Published: (2024)

A new parametrization for ideal classes in rings defined by binary forms, and applications
by: Swaminathan, Ashvin
Published: (2020)

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)

The growth of Tate-Shafarevich groups of $p$-supersingular elliptic curves over anticyclotomic $\mathbb{Z}_p$-extensions at inert primes
by: Isik, Erman, et al.
Published: (2024)

Number fields with prescribed norms
by: Frei, Christopher, et al.
Published: (2018)

Transcendental Brauer groups of products of CM elliptic curves
by: Newton, Rachel
Published: (2015)

The finitude of tamely ramified pro-$p$ extensions of number fields with cyclic $p$-class groups
by: Lee, Yoonjin, et al.
Published: (2024)

Enumerative Galois theory for number fields
by: Chow, Sam, et al.
Published: (2023)

On Properly $θ$-Congruent Numbers Over Real Number Fields
by: Salami, Sajad, et al.
Published: (2025)

Linkage of Pfister forms over semi-global fields
by: Daans, Nicolas
Published: (2024)

Almost Golomb Sequences
by: Cloitre, Benoit
Published: (2026)

Probability Laws Concerning Zeta Integrals
by: Plumpton, Grayson
Published: (2024)

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

$p$-adic properties of Eisenstein-Kronecker cocycles over imaginary quadratic fields and $p$-adic interpolation
by: Flórez, Jorge
Published: (2024)

On anticyclotomic Euler and Kolyvagin systems
by: Mastella, Luca, et al.
Published: (2025)

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

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

On ideal class groups of totally degenerate number rings
by: Hambardzumyan, Ruben, et al.
Published: (2025)

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

Enumerating orders in number fields
by: Kirschmer, Markus, et al.
Published: (2024)

On a perturbed Hofstadter $Q$-recursion
by: Cloitre, Benoit
Published: (2026)

Elliptic curves with rank one and nontrivial 2-part of Tate Shafarevich groups over the $\mathbb{Z}_2$-extension of $\mathbb{Q}$
by: Deng, Li-Tong, et al.
Published: (2026)

An algebraic proof of Brauer's class number formula
by: Caputo, Luca
Published: (2025)

Quadratic fields, Artin-Schreier extensions, and Bell numbers
by: Hirakawa, Yoshinosuke
Published: (2019)

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

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

On Greenberg's generalized conjecture for families of number fields
by: Do, Thong Nguyen Quang
Published: (2025)

Octic Hilbert 2-class fields of real quadratic fields with discriminant 8p
by: Lemmermeyer, Franz
Published: (2025)

On the distribution of Iwasawa invariants associated to multigraphs
by: Dion, Cédric, et al.
Published: (2022)

Class fields and form class groups for solving certain quadratic Diophantine equations
by: Jung, Ho Yun, et al.
Published: (2023)

Iterating additive polynomials over finite fields
by: Reis, Lucas
Published: (2025)

An upper bound for the size of the ideal class monoid
by: Cho, Sungmun, et al.
Published: (2025)

3-class field towers with 2 or 3 stages
by: von Berghof, Helga Boyer, et al.
Published: (2026)

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

Coclass of the second 3-class group
by: Aouissi, Siham, et al.
Published: (2025)

Universality theorems for zeros of random real polynomials with fixed coefficients
by: King, Matthew C., et al.
Published: (2024)

Sparse Equidistribution of Geometric Invariants of Real Quadratic Fields
by: Humphries, Peter, et al.
Published: (2022)