36 citations · 235 across the 39 of their papers we have counts for
4 papers · 1 filter
Norms of indecomposable integers in real quadratic fields
Vítězslav Kala
We study totally positive, additively indecomposable integers in a real quadratic field . We estimate the size of the norm of an indecomposable integer by expre…
Universal quadratic forms and elements of small norm in real quadratic fields
Vítězslav Kala
For any positive integer M we show that there are infinitely many real quadratic fields that do not admit M-ary universal quadratic forms (without any restriction on the parity of…
Number fields without n-ary universal quadratic forms
Valentin Blomer, Vítězslav Kala
Given any positive integer M, we show that there are infinitely many real quadratic fields that do not admit universal quadratic forms in M variables.
Lattice-ordered abelian groups finitely generated as semirings
Vítězslav Kala
A lattice-ordered group (an -group) can be naturally viewed as a semiring . We give a full classification of (abelian) -groups…