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Real and complex behaviour of the base change function (was: The "cheta" function)
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(08/12/2009, 08:59 PM)bo198214 Wrote: Actually I am somewhat confused about the continuation of

for some from the real axis to the complex plane (via the method described by Jay some posts ago, i.e. considering a/the path from a point on the real axis to , looking at its image under and determine the value of the subsequently following logarithms by their continuation along the image of that path).

Has anyone a clear view to which points can be continued, is it even entire?
Me too, I'm making progress on n=5,6,7 ... I think the answer will eventually come out and it will be very interesting, but I don't have enough nearly enough time to do the problem proper diligence this week. Perhaps f will even converge as n increases to infinity, just as the function converges on the real number line....
- Shel
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RE: Does the limit converge in the complex plane? - by sheldonison - 08/13/2009, 12:49 AM

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