M. Tinkov'a

activity

20182021

most citedUniversal quadratic forms, small norms and traces in families of number fields

27 citations · 43 across the 4 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.NT2021★ 6 cited

Trace and norm of indecomposable integers in cubic orders

Magdaléna Tinková

We study the structure of the codifferent and of additively indecomposable integers in families of totally real cubic fields. We prove that for cubic orders in these fields, the mi…

math.NT2021★ 10 cited

On the Pythagoras number of the simplest cubic fields

Magdaléna Tinková

The simplest cubic fields $Q (ρ)$ are generated by a root $ρ$ of the polynomial $x^{3} - a x^{2} - (a + 3) x - 1$ where $a \geq - 1$ . In this paper, we will show that the Pythagoras number…