6 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
7 papers · 1 filter
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…