K. Zemková

most citedThere are no universal ternary quadratic forms over biquadratic fields

18 citations · 20 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2023★ 2 cited

Isotropy and full splitting pattern of quasilinear $p$ -forms

Kristýna Zemková

For a quasilinear $p$ -form defined over a field $F$ of characteristic $p > 0$ , we prove that its defect over the field $F (p^{n_{1}} a_{1}, \dots, p^{n_{r}} a_{r})$ equals to…

math.NT2019★ 18 cited

There are no universal ternary quadratic forms over biquadratic fields

Jakub Krásenský, Magdaléna Tinková, Kristýna Zemková

We study totally positive definite quadratic forms over the ring of integers $O_{K}$ of a totally real biquadratic field $K = Q (m, s)$ . We restrict our…

Isotropy and full splitting pattern of quasilinear p-forms

There are no universal ternary quadratic forms over biquadratic fields

Isotropy and full splitting pattern of quasilinear $p$ -forms