Alternating Euler $T$-sums and Euler $\tilde S$-sums
Number Theory
2020-06-22 v3
Abstract
In this paper, we study the alternating Euler -sums and related sums by using the method of contour integration. We establish the explicit formulas for all linear and quadratic Euler -sums and related sums. Some interesting new consequences and illustrative examples are considered.
Cite
@article{arxiv.2004.04556,
title = {Alternating Euler $T$-sums and Euler $\tilde S$-sums},
author = {Weiping Wang and Ce Xu},
journal= {arXiv preprint arXiv:2004.04556},
year = {2020}
}