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praneeth
#1
Jul4-07, 11:30 AM
P: 4
I want to submit a paper on proof of this formula, so can some one please tell whether this already exists or not?

Let Sí(A) be the set of elements in GF(p) such that Sí(A) = {x/ O(x,p) = A}. Here A should be
the factor of (p-1) and A>2, where p is prime, then
∑x = μ(A) + Ĺ* T(A)*p;
where the summation is over all the elements of set Sí(A) and
O(x,p) : Order of x with respect to p, (by order it is meant to be multiplicative order).
μ(A) : Mobius function of A.
T(A) : Eulerís-Totient function of A.
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