- #1

Yiming Xu

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I do know about the Newton's identities, but just with the algorithm of proving the symmetric function theorem, what should we do with $k=1,2,3,4$ and an arbitary $n$? Here seems to be a solution, with the usage of a remark of proving the theorem using the algorithm. But I cannot understand what does the remark actually meaning and where does it come from. Could someone explain? Thanks so much!

http://www-users.math.umn.edu/~Garrett/m/algebra/notes/15.pdf