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Specialization of the \(p\)-adic polylogarithm to \(p\)-th power roots of unity - MaRDI portal

Specialization of the \(p\)-adic polylogarithm to \(p\)-th power roots of unity (Q1419607)

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scientific article; zbMATH DE number 2028831
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Specialization of the \(p\)-adic polylogarithm to \(p\)-th power roots of unity
scientific article; zbMATH DE number 2028831

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    Specialization of the \(p\)-adic polylogarithm to \(p\)-th power roots of unity (English)
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    19 January 2004
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    In this paper, extending his previous results [J. Reine Angew. Math. 529, 205--237 (2000; Zbl 1006.19002)], the author calculates the restriction of the \(p\)-adic polylogarithm sheaf to the \(d\)-th roots of unity with \(d\) being divisible by \(p\), in terms of special values of Coleman's \(p\)-adic polylogarithm function.
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    syntomic cohomology
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    rigid cohomology
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