Journal of the Ramanujan Mathematical Society
Volume 41, Issue 2, June 2026 pp. 173–184.
Shuffle product formula for the Schur multiple zeta values of hook-type
Authors:
Maki Nakasuji and Wataru Takeda
Author institution:Department of Information and Communication Science, Faculty of Science, Sophia University, 7-1 Kioi-cho, Chiyoda-ku,
Tokyo, 102-8554, Japan.
Summary:
We discuss the shuffle product of the Schur multiple zeta values, which are the special values of Schur
multiple zeta functions. We first extend Hoffman's algebra to Schur multiple zeta values of hook-type. By using
these, we consider the product of hook-type Schur multiple zeta values. Then, for the derived terms, we introduce a
modified Hurwitz-type Schur multiple zeta function of hook-type, named an elementary factorial Schur multiple zeta
function. Furthermore, we consider the shuffle product of the elementary factorial Schur multiple zeta values and
obtain an explicit formula for their shuffle product.
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