> Yes, this is a bug.  The result should be O(z^0), just as in the 
> following example:
> 
> sage: S.<z> = QQ[[]]
> sage: p = 1 + z + O(z^2)
> sage: q = 1 + z
> sage: p(q)
> O(z^0)
> 
> This is now trac #5367.

Are you sure that O(z^0) is correct?
x = 1 + z + z^2 + z^3 + ... (ad infinitum)
would be a series that fits in the class p.
Now plug in q. Sounds as infinity (which is the the constant term of the 
result) is O(z^0)...

I would rather forbid the constant term of q to be anything but zero.

I guess the sage-combinat people probably have something to say here.

Ralf

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