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.
At the request of both authors and with the approval of the proceedings editor, article 020146 titled, “A functional equation for the Riemann Zeta fractional derivative,” is being retracted from the public record due to the fact that it is a duplication of article 020063 published in the same volume.
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
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