it is true in general that the sum (density of states for a physicst)(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \sum_{n=0}^{\infty} \delta (x- \gamma _{n}) [/tex]

is related to the value [tex] \frac{ \zeta '(1/2+is)}{\zeta (1/2+is)}+\frac{ \zeta '(1/2-is)}{\zeta (1/2-is)} [/tex]

here the 'gamma' are the imaginary parts of the non-trivial zeros of Riemann zeta function

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# Identity of Zeta function

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