On \(p\)-adic log-\(\Gamma\)-functions associated to the Lubin-Tate formal groups (Q1922163)
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scientific article; zbMATH DE number 927039
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(p\)-adic log-\(\Gamma\)-functions associated to the Lubin-Tate formal groups |
scientific article; zbMATH DE number 927039 |
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On \(p\)-adic log-\(\Gamma\)-functions associated to the Lubin-Tate formal groups (English)
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12 December 1996
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For a Lubin-Tate formal group \(F(X,Y)\) and a meromorphic series \(h(X)\), the author constructs a function \(T(s,F,h)\), which could be regarded as a generalization of the Morita \(p\)-adic log-gamma-function in [\textit{Y. Morita}, J. Reine Angew. Math. 302, 71-95 (1978; Zbl 0377.12011)] twisted by a \(p\)-adic integer \(c\). Then using this function, he describes the values at positive integers of the function \(\zeta(s,F,h)\) defined by \textit{K. Shiratani} and \textit{T. Imada} in [Mem. Fac. Sci., Kyushu Univ., Ser. A 46, 351-365 (1992; Zbl 0777.11050)].
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local field
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zeta function
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\(p\)-adic log-gamma-function
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Lubin-Tate formal group
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