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Riemann zeta function

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Riemann zeta function [′rē‚män ′zād·ə ‚fəŋk·shən]
(mathematics)
The complex function ζ(z) defined by an infinite series withnth terme-zlogn. Also known as zeta function.


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s] = (1 - 2-s) [zeta](s) for the Riemann zeta function [zeta](s) = [[summation].
2q-1]), (5) where q [member of] [0,1] and [GAMMA]() and [zeta]() denote the gamma function and the Riemann Zeta function, respectively (see Garcia-Finana and Cruz-Orive, 2004; Cruz-Orive, 2006, where a table with numerical values for [alpha](q) is provided, and references therein).
This text proposes an approach towards proving the truth of the conjecture that is based in large part on analogies between the Riemann zeta function as expressed analytically by a functional equation and the dualities exhibited by string theories in theoretical physics.
 
 
 
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