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math.NT2023
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…
math.NT2023
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.
math.NT2021
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…