2 citations · 5 across the 6 of their papers we have counts for
6 papers
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…
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…
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.
On generalizations of the sum formula for multiple zeta values
Masahiro Igarashi
We prove some generalizations of the sum formula for multiple zeta values by using Hiroyuki Ochiai's method of proving the sum formula.
Note on relations among multiple zeta-star values
Masahiro Igarashi
In this note, by using several ideas of other researchers, we derive several relations among multiple zeta-star values from the hypergeometric identities of C. Krattenthaler and T.…
A parametrized generalization of Ohno's relation for multiple zeta values
Masahiro Igarashi
In this paper, we prove that certain parametrized multiple series which generalize multiple zeta values satisfy the same relation as Ohno's relation for multiple zeta values. This…