Consider the polynomial $1-z(1+z)^a$ with $a$ a positive integer. Is there always a complex zero of this polynomial that is not a root of unity?
I tried to prove it by induction or by contradiction but I didn't succeed.
2025-01-13 05:30:29.1736746229
Is there always a zero of this polynomial that is not a root of unity?
40 Views Asked by user271828 https://math.techqa.club/user/user271828/detail AtRelated Questions in COMPLEX-ANALYSIS
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