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edited Jul 3, 2022 at 19:27

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Zeros of a complex function

I wonder whether $\sum_{k=0}^n \exp(r_k z)$ has a complex zero for any $0=r_0<r_1<r_2<\dotsb<r_n$. I think the answer is affirmative.

cv.complex-variables

asked Jul 3, 2022 at 19:20

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