mmzaj
Jan20-12, 05:34 AM
greetings . i have come to find that the average of the real parts of the nontrivial zeros of the zeta function is :
\bar{\sigma}=\lim_{n \to \infty }\frac{\gamma_{n-1} }{\gamma_{n}}-1
\gamma_{n} being the nth Stieltjes Constant (http://mathworld.wolfram.com/StieltjesConstants.html) . now , i don't know how to evaluate the limit !! so any help is highly appreciated .
\bar{\sigma}=\lim_{n \to \infty }\frac{\gamma_{n-1} }{\gamma_{n}}-1
\gamma_{n} being the nth Stieltjes Constant (http://mathworld.wolfram.com/StieltjesConstants.html) . now , i don't know how to evaluate the limit !! so any help is highly appreciated .