12 citations · 25 across the 3 of their papers we have counts for
3 papers
math.NT2021★ 3 cited
On quadratic Waring's problem in totally real number fields
Jakub Krásenský, Pavlo Yatsyna
We improve the bound of the -invariant of the ring of integers of a totally real number field, where the -invariant is the smallest number of squares of linear forms i…
math.NT2021★ 10 cited
A cubic ring of integers with the smallest Pythagoras number
Jakub Krásenský
We prove that the ring of integers in the totally real cubic subfield of the cyclotomic field has Pythagoras number equal to . This is the smallest…
math.NT2021★ 12 cited
Pythagoras numbers of orders in biquadratic fields
Jakub Krásenský, Martin Raška, Ester Sgallová
We examine the Pythagoras number of the ring of integers in a totally real biquadratic number field . We show that the known upper b…