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math.NT2025
-Kloosterman sum via the Bruhat decomposition
Suzuho Osonoe, Maki Nakasuji
We define the Kloosterman sum for over the Kloosterman set via the Bruhat decomposition and stratify the Kloosterman set using the reduced word decomposition of the Weyl gro…
math.NT2025
New determinant formulas of Giambelli-type for Schur multiple zeta-functions and their applications
Kohji Matsumoto, Maki Nakasuji
In this article, we will prove the Giambelli formula for Schur multiple zeta-functions of extended shape which we call laced type, using the combinatorial method of proving the Gia…
math.NT2025
Schur multiple zeta-functions of Hurwitz type
Kohji Matsumoto, Maki Nakasuji
We study the Hurwitz-type analogue of Schur multiple zeta-functions involving shifting parameters. We extend various formulas, known for ordinary Schur multiple zeta-functions, to…