20 citations · 33 across the 13 of their papers we have counts for
5 papers · 1 filter
Landen's trilogarithm functional equation and -adic Galois multiple polylogarithms
Hiroaki Nakamura, Densuke Shiraishi
The Galois action on the pro- étale fundamental groupoid of the projective line minus three points with rational base points gives rise to a non-commutative formal power seri…
Demi-shuffle duals of Magnus polynomials in a free associative algebra
Hiroaki Nakamura
We study two linear bases of the free associative algebra : one is formed by the Magnus polynomials of type $(\mathrm{ad}_X^{k_1}Y)\cdots(\mathrm{ad}_…
On adelic Hurwitz zeta measures
Hiroaki Nakamura, Zdzislaw Wojtkowiak
In this paper we construct a $\hat\mathbb{Z}$-valued measure on $\hat\mathbb{Z}$ which interpolates -adic Hurwitz zeta functions for all .
On distribution formulas for complex and -adic polylogarithms
Hiroaki Nakamura, Zdzislaw Wojtkowiak
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 no…
Polylogarithmic analogue of the Coleman-Ihara formula, I
Hiroaki Nakamura, Kenji Sakugawa, Zdzislaw Wojtkowiak
The Coleman-Ihara formula expresses Soule's -adic characters restricted to -local Galois group as the Coates-Wiles homomorphism multiplied by -adic -values at positive…