33 citations · 92 across the 23 of their papers we have counts for
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math.NT2018★ 1 cited
A lower bound for the rank of a universal quadratic form with integer coefficients in a totally real number field
Pavlo Yatsyna
We show that if is a monogenic, primitive, totally real number field, that contains units of every signature, then there exists a lower bound for the rank of integer universal…
math.NT2018★ 33 cited
Lifting problem for universal quadratic forms
Vítězslav Kala, Pavlo Yatsyna
We study totally real number fields that admit a universal quadratic form whose coefficients are rational integers. We show that is the only such real quadrati…
math.CO2018★ 20 cited
On equiangular lines in 17 dimensions and the characteristic polynomial of a Seidel matrix
Gary R. W. Greaves, Pavlo Yatsyna
For a positive integer, we find restrictions modulo on the coefficients of the characteristic polynomial of a Seidel matrix . We show that, for a Seidel matri…