79 citations · 108 across the 33 of their papers we have counts for
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An interpolation of Ohno's relation to complex functions
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka
Ohno's relation is a well known formula among multiple zeta values. In this paper, we present its interpolation to complex functions.
Double shuffle relations for refined symmetric multiple zeta values
Minoru Hirose
Symmetric multiple zeta values (SMZVs) are elements in the ring of all multiple zeta values modulo the ideal generated by introduced by Kaneko-Zagier as counterparts of fini…
Weighted sum formula for multiple harmonic sums modulo primes
Minoru Hirose, Hideki Murahara, Shingo Saito
In this paper we prove a weighted sum formula for multiple harmonic sums modulo primes, thereby proving a weighted sum formula for finite multiple zeta values. Our proof utilizes d…
Polynomial generalization of the regularization theorem for multiple zeta values
Minoru Hirose, Hideki Murahara, Shingo Saito
Ihara, Kaneko, and Zagier defined two regularizations of multiple zeta values and proved the regularization theorem that describes the relation between those regularizations. We sh…
Sum formula for multiple zeta function
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka
The sum formula is a well known relation in the field of the multiple zeta values. In this paper, we present its generalization for the Euler-Zagier multiple zeta function.
A cyclic analogue of multiple zeta values
Minoru Hirose, Hideki Murahara, Takuya Murakami
We consider a cyclic analogue of multiple zeta values (CMZVs), which has two kinds of expressions; series and integral expression. We prove an `integralseries' type identity for…
Ohno type relations for classical and finite multiple zeta-star values
Minoru Hirose, Kohtaro Imatomi, Hideki Murahara +1
Ohno's relation is a generalization of both the sum formula and the duality formula for multiple zeta values. Oyama gave a similar relation for finite multiple zeta values, defined…
Iterated integrals on and a class of relations among multiple zeta values
Minoru Hirose, Nobuo Sato
In this paper we consider iterated integrals on and define a class of -linear relations among them, which arises from the diff…
Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals
Minoru Hirose, Nobuo Sato
In this paper we prove certain algebraic identities, which correspond to differentiations of the shuffle relation, the stuffle relation, and the relations which arise from Möbius t…