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p-adic interpolation of logarithmic derivatives associated to certain Lubin-Tate formal groups. (English) Zbl 0587.12007
The purpose of this paper is to generalize, to certain commutative formal groups of dimension one and height greater than one defined over the ring of integers of a finite extension of \({\mathbb{Q}}_ p\), some results on p- adic interpolation developed by Kubota, Leopoldt, Iwasawa, Mazur, Katz and others notably for the multiplicative group \({\hat {\mathbb{G}}}_ m\), and which they used to construct p-adic L-functions.

11S80 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)
14L05 Formal groups, \(p\)-divisible groups
11S40 Zeta functions and \(L\)-functions
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