5 papers
Cyclic sum formula for certain parametrized multiple zeta values
Hanamichi Kawamura, Anju Yokoi
Ohno-Wakabayashi's cyclic sum formula for multiple zeta-star values is generalized by Igarashi with one or two parameters. In this article, we give a possible answer for one of his…
Duality on symmetric multiple polylogarithms
Hanamichi Kawamura
There are three kinds of multiple polylogarithms; complex, finite and symmetric. The dualities for the complex and finite cases are known. In this paper, we present proofs of them…
Discrete iterated integrals and cyclic sum formulas
Hanamichi Kawamura
In this paper, we consider a discrete version of iterated integrals by the naive (equally divided) Riemann sum. In particular, basic three formulas for usual iterated integrals are…
On a lifting of -adic symmetric multiple zeta values
Minoru Hirose, Hanamichi Kawamura
The -adic symmetric multiple zeta value is a generalization of the symmetric multiple zeta value from the perspective of the Kaneko-Zagier conjecture. In this paper, we introduc…
Weighted sum formula for variants of half multiple zeta values
Hanamichi Kawamura, Takumi Maesaka, Masataka Ono
We prove some weighted sum formulas for half multiple zeta values, half finite multiple zeta values, and half symmetric multiple zeta values. The key point of our proof is Dougall'…