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math.NT2024
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…
math.NT2024
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…
math.NT2024
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…