Asymptotic behavior of the Hurwitz–Lerch multiple zeta functions at non-positive integer points
Volume 205 / 2022
Acta Arithmetica 205 (2022), 191-210
MSC: Primary 11M32.
DOI: 10.4064/aa211201-13-9
Published online: 10 October 2022
Abstract
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 result, we can evaluate limit values at non-positive integer points.
