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Let $x_1+x_2+\cdots+x_n=m$ then minimize the function
$f(x_1,x_2,\cdots,x_n)=\sum_{i=1}^n (x_i)^{\alpha}$
where $x_i,m,n$ are positive integers and $\alpha>1$.
My attempt: I applied the Lagrange's multiplier and found that minimum is obtained when all $x_i's$ are equal, but I am unable to pro...
