6 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
12 papers
Period Segmentation in Transition Network Analysis: A Topological Data Analysis Approach
Hitoshi Inoue, Koichi Yasutake
Temporal dynamics in learning behavior can be revealed through period segmentation in Transition Network Analysis (TNA). Cristea et al. demonstrated that segmenting courses into ha…
On variants of symmetric multiple zeta-star values and the cyclic sum formula
Minoru Hirose, Hideki Murahara, Masataka Ono
The -adic symmetric multiple zeta values were defined Jarossay, which have been studied as a real analogue of -adic finite multiple zeta values. In this paper, w…
Linear relations of Ohno sums of multiple zeta values
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka +1
Ohno's relation is a well-known family of relations among multiple zeta values, which can naturally be regarded as a type of duality for a certain power series which we call an Ohn…
Quasi-derivation relations for multiple zeta values revisited
Masanobu Kaneko, Hideki Murahara, Takuya Murakami
We take another look at the so-called quasi-derivation relations in the theory of multiple zeta values, by giving a certain formula for the quasi-derivation operator. In doing so,…
Numerical verification of solutions for nonlinear parabolic problems
Kouji Hashimoto, Takehiko Kinoshita, Mitsuhiro T. Nakao
In this paper, we present a numerical verification method of solutions for nonlinear parabolic initial boundary value problems. Decomposing the problem into a nonlinear part and an…
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…
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…
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…
Constructive error analysis of a full-discrete finite element method for the heat equation
Kouji Hashimoto, Mitsuhiro T. Nakao, Takuma Kimura +1
In this paper, we present a new full-discrete finite element method for the heat equation, and show the numerical stability of the method by verified computations. Since, in the er…
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…
On multiple zeta values and finite multiple zeta values of maximal height
Hideki Murahara, Mika Sakata
An explicit formula for the height-one multiple zeta values was proved by Kaneko and the second author. We give an alternative proof of this result and its generalization. We also…