%0 Journal Article %T On Some Arithmetical Properties of the Genocchi Numbers and Polynomials %A Park KyoungHo %A Kim Young-Hee %J Advances in Difference Equations %D 2008 %I Springer %X We investigate the properties of the Genocchi functions and the Genocchi polynomials. We obtain the Fourier transform on the Genocchi function. We have the generating function of -Genocchi polynomials. We define the Cangul-Ozden-Simsek's type twisted -Genocchi polynomials and numbers. We also have the generalized twisted -Genocchi numbers attached to the Dirichlet's character . Finally, we define zeta functions related to -Genocchi polynomials and have the generating function of the generalized -Genocchi numbers attached to . %U http://www.advancesindifferenceequations.com/content/2008/195049