If we write Sigma(n)/n = n^x (Sigma(n) is the sum of divisors function) it's easy to show that x is less than 1 and greater than 0, i.e. x belongs to the critical strip of Zeta function. Lets calculate wide list of such x and calculate Zeta(x+ i y) if y is the imaginary part of non trivial zeros of Zeta...any conclusion or pattern?
Martin Jakob
I'm not a mathematician, so I won't be helpful here. Just out of personal interest: Do you intend to find patterns for trivial zeros within the critical strip by applying your modified Riemann's zeta function using brute force?
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Jamal Salah
Dear Martin;
I Just want to study the behavior of Zeta (x+ I y), y is the imaginary part of Non-trivial zeros of Zeta, while x is a number between 0 and 1 such that n^x = sigma(n)/n
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