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We derive eight identities of symmetry in three variables related togeneralized twisted Euler polynomials and alternating generalized twisted powersums, both of which are twisted by ramified roots of unity. All of these arenew, since there have been results only about identities of symmetry in twovariables. The derivations of identities are based on the $p$-adic integralexpression of the generating function for the generalized twisted Eulerpolynomials and the quotient of $p$-adic integrals that can be expressed as theexponential generating function for the alternating generalized twisted powersums.

Symmetry identites for generalized twisted Euler polynomials twisted by ramified roots of unity