3 papers
math.NT2022
Note on cyclic sum of certain parametrized multiple series
Masahiro Igarashi
We prove the cyclic sum formulas for certain two-parameter multiple series. These are new and non-trivial generalizations of the cyclic sum formulas for multiple zeta values and mu…
math.NT2022
On the duality formula for parametrized multiple series
Masahiro Igarashi
We show that a duality formula for certain parametrized multiple series yields numerous relations among them. As a result, we obtain a new relation among extended multiple zeta val…
math.NT2020
Note on relations among multiple zeta(-star) values II
Masahiro Igarashi
I obtain new evaluations of special values of multiple polylogarithms by using a limiting case of a basic hypergeometric identity of G. E. Andrews.