1 citations · 1 across the 5 of their papers we have counts for
5 papers
Multiple zeta-star values for indices of infinite length
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka
In this paper, we consider infinite-length versions of multiple zeta-star values. We give several explicit formulas for the infinite-length versions of multiple zeta-star values. W…
On the asymptotic behavior of the double zeta function for large negative indices
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka
In this paper, we investigate an asymptotic behavior of the double zeta function of Euler-Zagier type for indices with large negative real parts.
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…
The Graph Ramsey Number
Shin-ya Kadota, Tomokazu Onozuka, Yuta Suzuki
For a given pair of two graphs , let be the smallest positive integer such that for any graph of order , either contains as a subgraph or the com…
Analytic continuation of multiple zeta-functions and the asymptotic behavior at non-positive integers
Tomokazu Onozuka
We prove two theorems. Theorem 1 gives the meromorphic continuation of the multiple zeta function to the whole space. In Theorem 2, we prove asymptotic behavior near the non-positi…