I want to submit a paper on proof of this formula, so can some one please tell whether this already exists or not?(adsbygoogle = window.adsbygoogle || []).push({});

Let S’(A) be the set of elements in GF(p) such that S’(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) + ½* T(A)*p;

where the summation is over all the elements of set S’(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) : Euler’s-Totient function of A.

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# A formula related to multiplicative order

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