@article{Lin2025, 
author = {Jiaye Lin},
title = {Evaluations of some Euler-type series via powers of the arcsin function},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {4},
pages = {8116-8130},
keywords = {harmonic numbers, infinite series identities, Euler-type series, inverse sine expansions},
url = {https://www.sciopen.com/article/10.3934/math.2025372},
doi = {10.3934/math.2025372},
abstract = {In this paper, by using special integrals and integer powers of the    arcsin function, we obtained the recurrences or explicit expressions of some parametric Euler-type series involving multiple harmonic sums and multiple    t-harmonic sums. According to our results, these Euler-type series are all expressible in terms of    π,    ln  ⁡  (  2  ), and zeta values. In particular, by specifying the parameters, we presented as examples the evaluations of some special series, including some known ones in the literature and some new ones.}
}