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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…