Unformatted text preview: 6. How many roots of z 6 − 5 z 4 + z 3 − 2 z lie inside the unit circle, counting multiplicities? 7. Show that if  C  > e , then the equation Cz n = e z has n solutions inside the unit circle, counting multiplicities. 8. Show that 2 z 5 + 8 z − 1 = 0 has exactly 4 solutions inside the annulus 1 <  z  < 2. 1...
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 Fall '11
 Staff
 Integrals, Unit Circle, Cauchy principal value

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