8 citations · 35 across the 37 of their papers we have counts for
12 papers · 1 filter
Bowman-Bradley type theorem for finite multiple zeta values in
Hideki Murahara, Tomokazu Onozuka, Shin-ichiro Seki
Bowman and Bradley obtained a remarkable formula among multiple zeta values. The formula states that the sum of multiple zeta values for indices which consist of the shuffle of two…
A note on derivation relations for multiple zeta values and finite multiple zeta values
Yasunobu Horikawa, Hideki Murahara, Kojiro Oyama
The derivation relation is a well known relation among multiple zeta values, which was first obtained by Ihara, Kaneko and Zagier. The analogous formula for finite multiple zeta va…
Derivation relation for finite multiple zeta values in
Hideki Murahara, Tomokazu Onozuka
Ihara, Kaneko, and Zagier proved the derivation relation for multiple zeta values. The first named author obtained its counterpart for finite multiple zeta values in .…
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.
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.
Modular hierarchical and power-law small-world networks bear structural optima for minimal first passage times and cover time
Benjamin F. Maier, Cristián Huepe, Dirk Brockmann
Networks that are organized as a hierarchy of modules have been the subject of much research, mainly focusing on algorithms that can extract this community structure from data. The…
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…
On a generalization of restricted sum formula for multiple zeta values and finite multiple zeta values
Hideki Murahara, Takuya Murakami
We prove a new linear relation for multiple zeta values. This is a natural generalization of the restricted sum formula proved by Eie, Liaw and Ong. We also present an analogous re…
Restricted sum formula for finite and symmetric multiple zeta values
Hideki Murahara, Shingo Saito
The sum formula for finite and symmetric multiple zeta values, established by Wakabayashi and the authors, implies that if the weight and depth are fixed and the specified componen…