Mr. Grime, So, the 1st equation is wrong. I don't know "Le Veque". If its new what should I do with it. Can you suggest anyone journal to write to about this? because every journal I saw won't accept new proofs to theorems as its articles.
Also I want to mention that
{∑(x^r)-μ(A)} mod p=0; for...
1) If you look at it as a mathematical expression, is that correct?? addition of elements taken from a finite field in the integer domain (changing the domain).
(or)
2) (∑x - μ(A))mod p = 0
is that correct? I just want to know if it has got any significance?
I want to submit a paper on proof of this formula, so can some one please tell whether this already exists or not?
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...