proof of Waring’s formula
Taking log on both sides of
Waring’s formula will follow by comparing the coefficients on both sides.
The right hand side of the above equation equals
The coefficient of is equal to .
On the other hand, the left hand side of (1) can be written as
For each , the coefficient of in
where the summation is extended over all -tuple whose entries are non-negative integers, such that
So the coefficient of in the left hand side of (1) is
The last summation is over all with non-negative entries such that .
|Title||proof of Waring’s formula|
|Date of creation||2013-03-22 15:34:29|
|Last modified on||2013-03-22 15:34:29|
|Last modified by||kshum (5987)|