Explicit Evaluation of Euler-Ap\'ery Type Multiple Zeta Star Values and Multiple $t$-Star Values
Number Theory
2025-08-06 v1
Abstract
In this paper we establish several recurrence relations about Euler-Ap\'ery type multiple zeta star values and a parametric variant of it by using the method of iterated integrals. Then using the formulas obtained, we find the explicit evaluations for some specific Euler-Ap\'ery type multiple zeta star values and one of its parametric variant, and Euler-Ap\'ery type multiple -star values.
Cite
@article{arxiv.2205.04242,
title = {Explicit Evaluation of Euler-Ap\'ery Type Multiple Zeta Star Values and Multiple $t$-Star Values},
author = {Ce Xu and Jianqiang Zhao},
journal= {arXiv preprint arXiv:2205.04242},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2103.01377