A positive proportion of cubic fields are not monogenic yet have no local obstruction to being so

Type: Preprint

Publication Date: 2020-01-01

Citations: 2

DOI: https://doi.org/10.48550/arxiv.2011.01186

Locations

  • arXiv (Cornell University) - View - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ A positive proportion of cubic fields are not monogenic yet have no local obstruction to being so 2024 Levent Alpöge
Manjul Bhargava
Ari Shnidman
+ Effect of monogenicity on $2$-torsion in the class group of number fields of odd degree 2020 Artane Siad
+ PDF Chat A positive proportion of quartic fields are not monogenic yet have no local obstruction to being so 2023 Levent Alpöge
Manjul Bhargava
Ari Shnidman
+ A positive proportion of quartic fields are not monogenic yet have no local obstruction to being so 2021 Levent Alpöge
Manjul Bhargava
Ari Shnidman
+ Counting Monogenic Cubic Orders 2019 Shabnam Akhtari
+ The mean number of 2-torsion elements in the class groups of $n$-monogenized cubic fields 2020 Manjul Bhargava
Jonathan Hanke
Arul Shankar
+ Monogenic pure cubics 2020 Zafer Selçuk Aygin
Khoa D. Nguyen
+ A Simple Irrationality Proof for Quadratic Surds 1968 M. V. Subbarao
+ A dynamical characterization for monogenity at every level of some infinite -towers 2021 Marianela Castillo Fernández
+ Monogenic fields with odd class number Part I: odd degree 2020 Artane Siad
+ PDF Chat Hilbert's tenth problem via additive combinatorics 2024 Peter Koymans
Carlo Pagano
+ On $2$-Selmer groups and quadratic twists of elliptic curves 2020 Daniel Barrera Salazar
Ariel Pacetti
Gonzalo TornarĂ­a
+ WITHDRAWN: Quadratic, cubic, and sextic number fields with class numbers indivisible by 3 2008 Allison M. Pacelli
+ PDF Chat None 2023
+ PDF Chat Additive structure of non-monogenic simplest cubic fields 2025 Daniel Gil-Muñoz
Magdaléna Tinková
+ Higher descents on an elliptic curve with a rational 2-torsion point 2015 Tom Fisher
+ Higher descents on an elliptic curve with a rational 2-torsion point 2015 Tom Fisher
+ Second isogeny descents and the Birch and Swinnerton-Dyer conjectural formula 2012 Brendan Creutz
Robert Miller
+ PDF Chat Geometrically simple counterexamples to a local-global principle for quadratic twists 2025 Emiliano Ambrosi
Nirvana Coppola
Francesc Fité
+ Descent by 3-isogeny on elliptic curves 2019 Steven R. Groen

Works That Cite This (1)

Action Title Year Authors
+ Monogenity and Power Integral Bases: Recent Developments 2024 István Gaál

Works Cited by This (0)

Action Title Year Authors