Thank you both for your replies.
It's interesting that in Andrej's examples, the e^x and exp(x) form do
not yield the same result,
since in maxima (which I know next to nothing about) we have
(%i1) declare(m, integer);
(%o1) done
(%i2) rectform(exp(2*m*%i*%pi));
(%o2) 1
(%i3) rectform(%e^(2*m*%i*%pi));
(%o3) 1
Is this a problem with the sage conversion?
Note these two different behaviours:
sage: var('m'); assume(m, 'integer')
m
sage: e^(i*2*pi*m)._maxima_().rectform()
e^(2*I*pi*m)
sage: exp(i*2*pi*m)._maxima_().rectform()
1
but (this was tested in a new sage/maxima session)
sage: var('m'); maxima('declare(m, integer)')
m
done
sage: maxima(e^(i*2*pi*m)).rectform()
1
sage: maxima(exp(i*2*pi*m)).rectform()
1
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