Vítězslav Kala

activity

20092026

most citedNumber fields without n-ary universal quadratic forms

36 citations · 235 across the 39 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.NT2017★ 3 cited

Periodic representations in algebraic bases

Vítězslav Kala, Tomáš Vávra

We study periodic representations in number systems with an algebraic base $β$ (not a rational integer). We show that if $β$ has no Galois conjugate on the unit circle, then there…

math.NT2017★ 8 cited

Additive structure of totally positive quadratic integers

Tomáš Hejda, Vítězslav Kala

Let $K = Q (D)$ be a real quadratic field. We consider the additive semigroup $O_{K}^{+} (+)$ of totally positive integers in $K$ and determine its generators (indec…

math.NT2017★ 16 cited

Universal quadratic forms over multiquadratic fields

Vítězslav Kala, Josef Svoboda

For all positive integers $k$ and $N$ we prove that there are infinitely many totally real multiquadratic fields $K$ of degree $2^{k}$ over $Q$ such that each universal quadr…