Number fields without universal quadratic forms of small rank exist in most degrees

real quadratic fields admitting universal lattices of rank 7

(2021) Byeong Moon Kim et al.   JOURNAL OF NUMBER THEORY

There are no universal ternary quadratic forms over biquadratic fields

(2020) Jakub Krásenský et al.   PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY

Lifting problem for universal quadratic forms

(2020) Vítězslav Kala et al.   ADVANCES IN MATHEMATICS

A lower bound for the rank of a universal quadratic form with integer coefficients in a totally real number field

(2019) Pavlo Yatsyna   COMMENTARII MATHEMATICI HELVETICI

Universal quadratic forms over multiquadratic fields

(2017) Vítězslav Kala et al.   RAMANUJAN JOURNAL

UNIVERSAL QUADRATIC FORMS AND ELEMENTS OF SMALL NORM IN REAL QUADRATIC FIELDS

(2016) VÍTĚZSLAV KALA   BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY

Number fields without n-ary universal quadratic forms

(2015) VALENTIN BLOMER et al.   MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY

A construction of polynomials with squarefree discriminants

(2012) Kiran S. Kedlaya   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

Universality of a non-classical integral quadratic form over Q ( \sqrt 5 )

(2009) Jesse Ira Deutsch   ACTA ARITHMETICA