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arXiv · 1711.03501

On distribution formulas for complex and $\ell$-adic polylogarithms

Hiroaki Nakamura·Zdzislaw Wojtkowiak
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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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Hiroaki Nakamura, Zdzislaw Wojtkowiak. 2017-11-09. On distribution formulas for complex and $\ell$-adic polylogarithms. https://doi.org/10.1007/978-3-030-37031-2_21

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