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.


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    Title :

    A functional equation for the Riemann zeta fractional derivative


    Contributors:

    Conference:

    ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences ; 2016 ; La Rochelle, France


    Published in:

    Publication date :

    2017-01-27


    Size :

    10 pages





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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