In this paper a functional equation for the fractional derivative of the Riemann ζ function is presented. The fractional derivative of ζ is computed by a generalization of the Grünwald-Letnikov fractional operator, which satisfies the generalized Leibniz rule. It is applied to the asymmetric functional equation of ζ in order to obtain the result sought. Moreover, further properties of this fractional derivative are proposed and discussed.
A functional equation for the Riemann zeta fractional derivative
ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences ; 2016 ; La Rochelle, France
AIP Conference Proceedings ; 1798 , 1
2017-01-27
10 pages
Conference paper
Electronic Resource
English
A functional equation for the Riemann Zeta fractional derivative
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