  Milnor formulated a conjecture about rational linear independence of some
special Hurwitz zeta values. The second and third authors along with Ram Murty
studied this conjecture and suggested an extension of Milnor's conjecture. In
this note, we investigate the number field generalisation of this extended
Milnor conjecture. We indicate the motivation for considering this number field
case by noting that such a phenomenon is true in an analogous context. We also
study some new spaces related to normalised Hurwitz zeta values.
