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Jul 3, 2021 at 7:13 comment added Fedor Petrov @CHUAKS ah, you are correct, we should change $a_{nn}$ to 1. It does not participate in the equalities we should check, so this should not violate them.
Jul 3, 2021 at 7:12 history edited Fedor Petrov CC BY-SA 4.0
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Jul 3, 2021 at 3:38 comment added CHUAKS I mean you need $A$ Hermitian, so $\theta_n=a_{nn}$ should be real, so your construction requires at least one real root ($\pm 1$) ?
Jul 2, 2021 at 21:31 comment added Fedor Petrov @CHUAKS no, $\theta_i$'s are on the unit circle
Jul 2, 2021 at 18:02 comment added CHUAKS Did you assume $\theta_n$ is real? What if no real root eg. cyclotomic polynomial for odd prime $\Phi_p(Z)=(Z^p-1)/(Z-1)$
Nov 15, 2020 at 13:37 vote accept darkl
Nov 15, 2020 at 12:11 history bounty ended Ofir Gorodetsky
Nov 14, 2020 at 22:45 history edited Fedor Petrov CC BY-SA 4.0
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Nov 14, 2020 at 22:37 history edited Fedor Petrov CC BY-SA 4.0
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Nov 14, 2020 at 22:28 history answered Fedor Petrov CC BY-SA 4.0