Re: Complex Analysis Question

From: David C. Ullrich (ullrich_at_math.okstate.edu)
Date: 12/07/04 

Date: Tue, 07 Dec 2004 08:01:01 -0600

On Mon, 06 Dec 2004 16:47:41 -0800, The World Wide Wade
<waderameyxiii@comcast.remove13.net> wrote:

>In article <eW3td.29233$Rf1.8615@newssvr19.news.prodigy.com>,
> "mr0x" <mr00xx@nospam.hotmail.com> wrote:
>
>> > Hint: Show that the integral of f'/f is 0 over any closed contour in G.
>> > Which implies f'/f has an antiderivative in G, ...
>>
>> Thanks for you help.
>>
>> Hmm, I thought about that but I can't seem to make the connection.
>>
>> Now, if h is a branch of f^(1/n) then,
>> h'/h = (1/n) * f'/f
>
>Now integrate both sides around a closed contour to see the above can't
>happen for large n unless ....

Hint: the integral of h'/h over a closed contour is an _integer_.

************************

David C. Ullrich

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