Cover Image

Universal quadratic forms and Northcott property of infinite number fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Daans, Nicolas, Kala, Vítězslav, Man, Siu Hang
Format:	Preprint
Published:	2023
Subjects:	Number Theory 11E12 (Primary) 11E20, 11G50, 11H55, 11R04, 11R20, 11R80 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

Sails for universal quadratic forms
by: Kala, Vítězslav, et al.
Published: (2024)

Universality criterion sets for quadratic forms over number fields
by: Kala, Vitezslav, et al.
Published: (2024)

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

Kitaoka's Conjecture for quadratic fields
by: Kala, Vitezslav, et al.
Published: (2025)

Pythagoras numbers for infinite algebraic fields
by: Daans, Nicolas, et al.
Published: (2025)

Universality lifting from a general base field
by: Kala, Vitezslav, et al.
Published: (2024)

Non-universality of ternary quadratic forms over fields containing $\sqrt2$
by: Kramer, Kristyna, et al.
Published: (2026)

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

No proper generalized quadratic forms are universal over quadratic fields
by: Chwiedziuk, Ondřej, et al.
Published: (2024)

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

Representing rational integers by generalized quadratic forms over quadratic fields
by: Chwiedziuk, Ondřej, et al.
Published: (2024)

Extending bounds on minimal ranks of universal quadratic lattices to larger number fields
by: Doležálek, Matěj
Published: (2025)

Even better sums of squares over quintic and cyclotomic fields
by: Kala, Vítězslav, et al.
Published: (2024)

On Widmer's criteria for the Northcott property
by: Checcoli, Sara, et al.
Published: (2024)

On the Northcott property for infinite extensions
by: Widmer, Martin
Published: (2023)

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

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

Normal integral bases of Lehmer's cyclic quintic fields
by: Hashimoto, Yu, et al.
Published: (2022)

The classification and representations of positive definite ternary quadratic forms of level 4N
by: Luo, Yifan, et al.
Published: (2024)

Generalizing Hurwitz's quaternionic proof of Lagrange's and Jacobi's four-square theorems
by: Doležálek, Matěj
Published: (2024)

Using continued fractions with prescribed period for universal quadratic forms
by: Mensikova, Veronika, et al.
Published: (2026)

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

Universal quadratic forms and Dedekind zeta functions
by: Kala, Vítězslav, et al.
Published: (2023)

Pro-$\ell$-by-cyclotomic and tamely ramified variants of the Neukirch-Uchida Theorem
by: Karshon, Ido, et al.
Published: (2026)

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

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

Asymptotics of $n$-universal lattices over number fields
by: Park, Dayoon, et al.
Published: (2025)

The $t$-metric Mahler measures of surds and rational numbers
by: Samuels, Charles L., et al.
Published: (2014)

Totally positive elements with $m$ partitions exist in almost all real quadratic fields
by: Zindulka, Mikuláš
Published: (2024)

An elementary proof of the theorem on the imaginary quadratic fields with class number 1
by: Carter, James E.
Published: (2024)

Norm relations and computational problems in number fields
by: Biasse, Jean-François, et al.
Published: (2020)

On points of small height in infinite extensions
by: Dixit, Anup B., et al.
Published: (2024)

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

Reflection theorems of Ohno-Nakagawa type for quartic rings and pairs of $n$-ary quadratic forms
by: O'Dorney, Evan M.
Published: (2022)

Triality and Functoriality
by: Chenevier, Gaëtan, et al.
Published: (2025)

Galois module structure of algebraic integers of the simplest cubic field
by: Ogawa, Hajime, et al.
Published: (2023)

Small generators of abelian number fields
by: Widmer, Martin
Published: (2023)

Asymptotic solutions of the generalized Fermat-type equation of signature $(p,p,3)$ over totally real number fields
by: Sahoo, Satyabrat, et al.
Published: (2024)