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We also introduce a notion of strongly C-graded generalized g-twisted V-module if V admits an additional C-grading compatible with g. Let V=\\coprod_{n\\in \\Z}V_{(n)} be a vertex operator algebra such that V_{(0)}=\\C\\one and V_{(n)}=0 for n<0 and let u be an element of V of weight 1 such that L(1)u=0. Then the exponential of 2\\pi \\sqrt{-1} Res_{x} Y(u, x) is an automorphism g_{u} of V. 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We also introduce a notion of strongly C-graded generalized g-twisted V-module if V admits an additional C-grading compatible with g. Let V=\\coprod_{n\\in \\Z}V_{(n)} be a vertex operator algebra such that V_{(0)}=\\C\\one and V_{(n)}=0 for n<0 and let u be an element of V of weight 1 such that L(1)u=0. Then the exponential of 2\\pi \\sqrt{-1} Res_{x} Y(u, x) is an automorphism g_{u} of V. 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