5 papers · 1 filter
Analogues of the Aoki-Ohno and Le-Murakami relations for finite multiple zeta values
Masanobu Kaneko, Kojiro Oyama, Shingo Saito
We establish finite analogues of the identities known as the Aoki-Ohno relation and the Le-Murakami relation in the theory of multiple zeta values. We use an explicit form of a gen…
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…
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…