Cover Image

Universality lifting from a general base field

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kala, Vitezslav, Kim, Daejun, Lee, Seok Hyeong
Format:	Preprint
Published:	2024
Subjects:	Number Theory 11E12, 11E20, 11R04, 11R80, 11H06
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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)

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

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

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

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

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

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

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

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

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

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)

Zeta functions enumerating subforms of quadratic forms
by: Kim, Daejun, 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)

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

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

Sums of squares of integers from residue classes
by: Kim, Daejun
Published: (2025)

On lattices generated by algebraic conjugates of prime degree
by: Fukshansky, Lenny, et al.
Published: (2025)

Irreducibility of Polynomials with Square Coefficients over Finite Fields
by: Bary-Soroker, Lior, et al.
Published: (2024)

Diophantine avoidance and small-height primitive elements in ideals of number fields
by: Fukshansky, Lenny, et al.
Published: (2023)

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

Normal bases of small height in Galois number fields
by: Fukshansky, Lenny, et al.
Published: (2026)

A p-adic criterion for Lehmer's conjecture
by: Dixit, Anup B., et al.
Published: (2025)

Additive structure of non-monogenic simplest cubic fields
by: Gil-Muñoz, Daniel, et al.
Published: (2022)

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

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

Permutation Rational Functions over Quadratic Extensions of Finite Fields
by: Chen, Ruikai, et al.
Published: (2023)

On the distances between Pisot numbers generating the same number field
by: Zaimi, Toufik
Published: (2024)

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

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

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

Galois module structure of algebraic integers of cyclic cubic fields
by: Aoki, Miho
Published: (2024)

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

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

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

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

Gaussian periods and Shanks' cubic polynomials. II
by: Aoki, Miho
Published: (2025)