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On distribution formulas for complex and $\ell$-adic polylogarithms
Published 9 Nov 2017 in math.NT | (1711.03501v2)
Abstract: We study an $\ell$-adic Galois analogue of the distribution formulas for polylogarithms with special emphasis on path dependency and arithmetic behaviors. As a goal, we obtain a notion of certain universal Kummer-Heisenberg measures that enable interpolating the $\ell$-adic polylogarithmic distribution relations for all degrees.
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