6 citations · 6 across the 20 of their papers we have counts for
5 papers · 2 filters
Asymptotic behavior of the Hurwitz-Lerch multiple zeta function at non-positive integer points
Hideki Murahara, Tomokazu Onozuka
We give a result on the asymptotic behavior of the Hurwitz-Lerch multiple zeta functions near non-positive integer points by using the Apostol-Bernoulli polynomials. From this resu…
On the linear relations among parametrized multiple series
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka
Parametrized multiple series are generalizations of the multiple zeta values introduced by Igarashi. In this work, we completely determine all the linear relations among these para…
Ohno relation for regularized multiple zeta values
Minoru Hirose, Hideki Murahara, Shingo Saito
The Ohno relation for multiple zeta values can be formulated as saying that a certain operator, defined for indices, is invariant under taking duals. In this paper, we generalize t…
Ohno-type relation for interpolated multiple zeta values
Minoru Hirose, Hideki Murahara, Masataka Ono
We prove the Ohno-type relation for the interpolated multiple zeta values, which was introduced first by Yamamoto. Same type results for finite multiple zeta values are also given.…
A note on Ohno sums for multiple zeta values
Hideki Murahara
The Ohno relation is a well-known relation among multiple zeta values. Hirose, Onozuka, Sato, and the author investigated the sum related to the Ohno relation and presented two typ…