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20092026
most citedNumber fields without n-ary universal quadratic forms

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

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math.NT2025

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…

math.NT2025

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…