Cover Image

Geometry-of-numbers methods in the cusp

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Shankar, Arul, Siad, Artane, Swaminathan, Ashvin, Varma, Ila
Format:	Preprint
Published:	2021
Subjects:	Number Theory Representation Theory 11R29, 11R45, 11H55, 11P21, 11E76
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

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

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

Geometry-of-numbers methods over global fields II: Coregular representations
by: Bhargava, Manjul, et al.
Published: (2026)

Geometry-of-numbers methods over global fields I: Prehomogeneous vector spaces
by: Bhargava, Manjul, et al.
Published: (2015)

A parametrization of $3$-class groups of quadratic rings over Dedekind domains
by: Hodges, Eliot, et al.
Published: (2025)

On the distribution of shapes of sextic pure number fields
by: Jakhar, Anuj, et al.
Published: (2026)

Universal quadratic forms and indecomposables in number fields: A survey
by: Kala, Vítězslav
Published: (2023)

On the distribution of shapes of pure quartic number fields
by: Das, Sudipa, et al.
Published: (2025)

Explicit composition identities for higher composition laws
by: Chinta, Gautam, et al.
Published: (2026)

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

On the distribution of shapes of totally real multiquadratic number fields
by: Jakhar, Anuj, et al.
Published: (2026)

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

Simultaneous visibility in the algebraic lattice
by: Kumar, Rishi, et al.
Published: (2026)

On counting totally imaginary number fields
by: Raghuram, A., et al.
Published: (2024)

Northcott property and universality of higher degree forms
by: Prakash, Om
Published: (2024)

Real quadratic fields with a universal quadratic form of given rank have density zero
by: Kala, Vitezslav, et al.
Published: (2023)

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

On the distribution of shapes of octic Kummer extensions
by: Jakhar, Anuj, et al.
Published: (2026)

The average genus number for pure fields of prime degree
by: Bose, Sambhabi, et al.
Published: (2025)

Counting elliptic curves with prescribed entanglements
by: Couvillon, Zachary, et al.
Published: (2025)

Lifting problem for universal quadratic forms over totally real cubic number fields
by: Kim, Daejun, et al.
Published: (2023)

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

Small integral generators of totally complex number fields
by: Akhtari, Shabnam, et al.
Published: (2023)

There are consecutive cubic fields with large class numbers, when ordered by discriminant
by: Kala, Vitezslav, et al.
Published: (2026)

The Cohen--Lenstra moments over function fields via the stable homology of non-splitting Hurwitz spaces
by: Landesman, Aaron, et al.
Published: (2024)

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)

On Malle's conjecture for the product of symmetric and nilpotent groups
by: Mishra, Hrishabh, et al.
Published: (2024)

Solubility of a resultant equation and applications
by: Browning, Tim, et al.
Published: (2024)

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

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

Universal quadratic forms and Northcott property of infinite number fields
by: Daans, Nicolas, et al.
Published: (2023)

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

Failures of integral Springer's Theorem
by: Daans, Nicolas, et al.
Published: (2024)

Counting $C_2 \wr S_4$ fields with a power saving error term
by: Bose, Sambhabi, et al.
Published: (2025)

Computational data on ${\mathfrak S}_n$-extensions of $\mathbb Q$
by: Malle, Gunter
Published: (2024)

Most totally real fields do not have universal forms or Northcott property
by: Daans, Nicolas, et al.
Published: (2024)