2022/01/05 by Maki Nakasuji, Nakasuji, Maki, Wataru Takeda +1
Chemistry · Mathematics · #05E05 #11M41 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Molecular spectroscopy and chirality #Number Theory (math.NT) #math.CO #math.NT #msc:05E05 #msc:11M41
paper · pdf · doi:10.48550/arxiv.2201.01402
published as J. Ramanujan Math. Soc. 41 (2026), No. 2, 173-184 · For some reason, we have not been able to access the first version of this paper. Therefore, we are resubmitting the same manuscript as the first version. 20 pages
openalex publication_date 2022/01/05 · arxiv created 2022/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28 · arxiv updated 2026/07/30
We discuss the shuffle product of the Schur multiple zeta values, which are the special values of Schur multiple zeta functions. We first define 2-labeled Schur posets to generalize Yamamoto's integral expression of the multiple zeta values and consider the product of hook-type Schur multiple zeta values by using these posets. 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 generalize 2-labeled Schur posets to consider the shuffle product of the elementary factorial Schur multiple zeta values and obtain an explicit formula for their shuffle product.