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In this paper, we generalize Hazewinkel’s theory of twisted ramified Witt rings and then generalize -exponentials defined by Pulita using newly defined Witt vectors. As an application,we determine the radii of convergence of some formal group exponentials.We also show that -typical part of a theorem of R. Richard [Ric15] on the convergence of -exponentials holds for these series and prove some overconvergence properties of related series.
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Shigeki Matsuda, -exponentials for generalized twisted ramified Witt vectors. Rend. Sem. Mat. Univ. Padova 142 (2019), pp. 145–179