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Sum formulas for Schur multiple zeta values
Henrik Bachmann, Shin-ya Kadota, Yuta Suzuki +2
In this paper, we study sum formulas for Schur multiple zeta values and give a generalization of the sum formulas for multiple zeta(-star) values. We show that for ribbons of certa…
On a unified double zeta function of Mordell--Tornheim type
Shin-ya Kadota, Takuya Okamoto, Masataka Ono +1
We introduce the unified double zeta function of Mordell--Tornheim type and compute its values at non-positive integer points. We then discuss a possible generalization of the Kane…
On the parity result for multiple Dirichlet series
Shin-ya Kadota
In this paper, we discuss the parity result for multiple Dirichlet series which contains some special values of multiple zeta functions as special cases, Mordell--Tornheim type of…
Evaluation of Tornheim's type of double series
Shin-ya Kadota, Takuya Okamoto, Koji Tasaka
We examine values of certain Tornheim's type of double series with odd weight. As a result, an affirmative answer to a conjecture about the parity theorem for the zeta function of…
Certain weighted sum formulas for multiple zeta values with some parameters
Shin-ya Kadota
Multiple zeta values (MZVs) are real numbers which are defined by certain multiple series. Recently, many people have researched for relations among them and many relations are wel…