Parametric Euler $T$-sums of odd harmonic numbers
Number Theory
2022-03-29 v1
Abstract
In this paper, we define a parametric variant of generalized Euler sums and call them the (alternating) parametric Euler -sums. By using the contour integration method and residue theorem, we establish several explicit formulae for the linear parametric Euler -sums. Furthermore, by applying the results, we obtain explicit formulae for the Hoffman's (alternating) double -values and Kaneko-Tsumura's (alternating) double -values.
Cite
@article{arxiv.2203.13996,
title = {Parametric Euler $T$-sums of odd harmonic numbers},
author = {Ce Xu and Lu Yan},
journal= {arXiv preprint arXiv:2203.13996},
year = {2022}
}