Re: Root to Power Series

"Jon G." <jon8338@[EMAIL PROTECTED]
> writes:

> -root to polynomial of nth degree
> -root to power series
> 
> http://mypeoplepc.com/members/jon8338/math/id10.html


This is wrong.  If a_j are rational, your formula would make x the natural
logarithm of an algebraic number.  But the root of a polynomial is an
algebraic number, and according to the Lindemann-Weierstrass theorem
if x is a nonzero algebraic number, e^x must be transcendental.
-- 
Robert Israel              israel@[EMAIL PROTECTED]
 of Mathematics        http://www.math.ubc.ca/~israel

University of British Columbia            Vancouver, BC, Canada