Solve Problem w/ Generating Function e_m(x1-xn)

Punkyc7
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I am suppose to use the generating function for e_{m}(x_{1} . . . . x_{n}) to solve a problem. I have tried looking for it but I can not seem to find any information on it. Does anyone know what it is?
 
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More clues please. What area of mathematics is this? What is this em function?
 
Or tell us what "this problem" is?
 
e_{m} is the elementary symmetric functions
 
Punkyc7 said:
e_{m} is the elementary symmetric functions

OK, so what do you want to know about those?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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