On distribution formulas for complex and $\ell$-adic polylogarithms
Number Theory
2020-04-01 v2
Abstract
We study an -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 -adic polylogarithmic distribution relations for all degrees.
Cite
@article{arxiv.1711.03501,
title = {On distribution formulas for complex and $\ell$-adic polylogarithms},
author = {Hiroaki Nakamura and Zdzislaw Wojtkowiak},
journal= {arXiv preprint arXiv:1711.03501},
year = {2020}
}
Comments
This article has appeared in the proceedings volume "Periods in Quantum Field Theory and Arithmetic" (J.~Burgos Gil, K.~Ebrahimi-Fard, H.~Gangl eds), [Conference proceedings ICMAT-MZV 2014] Springer Proceedings in Mathematics \& Statistics {\bf 314} (2020), pp.593--619