18 citations · 18 across the 3 of their papers we have counts for
4 papers
Exact Rank of the Largest Good Lattice Point Matrix
Long-Hao Xu
We prove that for every integer the largest good lattice point matrix , whose columns are generated by all integers coprime to , has rank exactly…
Non-universality of ternary quadratic forms over fields containing
Kristyna Kramer, Jakub Krasensky
We prove Kitaoka's conjecture for all totally real number fields of degree 4 -- namely, there is no positive definite classical quadratic form in three variables which is universal…
Kitaoka's Conjecture and sums of squares
Vitezslav Kala, Kristyna Kramer, Jakub Krasensky
We connect the existence of a ternary classical universal quadratic form over a totally real number field with the property that all totally positive multiples of 2 are sums of…
There are no universal ternary quadratic forms over biquadratic fields
Jakub Krásenský, Magdaléna Tinková, Kristýna Zemková
We study totally positive definite quadratic forms over the ring of integers of a totally real biquadratic field . We restrict our…