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math.NT2023
Asymptotic coefficients of multiple zeta functions at the origin and generalized Gregory coefficients
Toshiki Matsusaka, Hideki Murahara, Tomokazu Onozuka
Due to their singularities, multiple zeta functions behave sensitively at non-positive integer points. In this article, we focus on the asymptotic behavior at the origin $(0,\dots,…
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.