July 2004

Periodicity of Function

In August 2003, I could laboriously find the beautiful quality and I will be published later as its official form.

Set as an entire function defined in complex plane. Transform into the polar form using at a given point .

Set as a natural number not less than 2, then the number of for such that constantly satisfies in complex plane is

- null;
- only one; or
- infinite (countable) at regular intervals on a line, each satisfying .

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