3 citations · 3 across the 5 of their papers we have counts for
5 papers
Escalations and criteria over real quadratic fields
Jakub Krásenský, Giuliano Romeo
The famous 15-Theorem and 290-Theorem fully characterise universal quadratic forms over . Similar theorems exist for every totally real number field, but only over $\ma…
Kitaoka's Conjecture for quadratic fields
Vitezslav Kala, Jakub Krásenský, Dayoon Park +2
We prove that there are at most 13 real quadratic fields that admit a ternary universal quadratic lattice, thus establishing a strong version of Kitaoka's Conjecture for quadratic…
Universality criterion sets for quadratic forms over number fields
Vitezslav Kala, Jakub Krásenský, Giuliano Romeo
In analogy with the 290-Theorem of Bhargava-Hanke, a criterion set is a finite subset of the totally positive integers in a given totally real number field such that if a quadr…
Failures of integral Springer's Theorem
Nicolas Daans, Vítězslav Kala, Jakub Krásenský +1
We discuss the phenomenon where an element in a number field is not integrally represented by a given positive definite quadratic form, but becomes integrally represented by this f…
Simulation Limitations of Affine Cellular Automata
Barbora Hudcová, Jakub Krásenský
Cellular automata are a famous model of computation, yet it is still a challenging task to assess the computational capacity of a given automaton; especially when it comes to showi…