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For any ring R let A(R) denote the multiplicative group of power series of the form I + a It + * * * with coefficients in R. The Artin-Hasse exponential mappings are homomorphisms Wp, ,(k) -+ A( Wp,, (k)), which satisfy certain additional properties. Somewhat reformulated, the Artin-Hasse exponentials turn out to be special cases of a functorial ring homomorphism E: Wp .(-) -> W ,,,0( Wp(-)), where Wp is the functor of infinite-length Witt vectors associated to the prime p. In this paper we present ramified versions of both Wp,4(-) and E, with Wp .(-) replaced by a functor WF(-), which is essentially the functor of q-typical curves in a (twisted) Lubin-Tate formal group law over A, where A is a discrete valuation ring that admits a Frobenius-like endomorphism a (we require o(a) =_ a q mod m for all a E A, where m is the maximal idea of A). These ramified-Witt-vector functors W!F,(-) do indeed have the property that, if k = A/rm is perfect, A is complete, and I/k is a finite extension of k, then Wqo.(l) is the ring of integers of the unique unramified extension LIK covering I/k.

Twisted Lubin-Tate formal group laws, ramified Witt vectors and (ramified) Artin-Hasse exponentials