3 papers
math.NT2024
Ohno relation for regularized refined symmetric multiple zeta values
Minoru Hirose, Hideki Murahara, Shingo Saito
The Ohno relation is one of the most celebrated results in the theory of multiple zeta values, which are iterated integrals from to . In a previous paper, the authors genera…
math.CO2024
Characterization of order structures avoiding three-term arithmetic progressions
Minoru Hirose, Shingo Saito
It is known that the set of all nonnegative integers may be equipped with a total order that is chaotic in the sense that there is no monotone three-term arithmetic progressions. S…
math.NT2023
On a lifting of -adic symmetric multiple zeta values
Minoru Hirose, Hanamichi Kawamura
The -adic symmetric multiple zeta value is a generalization of the symmetric multiple zeta value from the perspective of the Kaneko-Zagier conjecture. In this paper, we introduc…