Explicit evaluation of quadratic Euler sums
Number Theory
2017-01-02 v1
Abstract
In this paper, we work out some explicit formulae for double nonlinear Euler sums involving harmonic numbers and alternating harmonic numbers. As applications of these formulae, we give new closed form representations of several quadratic Euler sums through Riemann zeta function and linear sums. The given representations are new.
Cite
@article{arxiv.1609.04923,
title = {Explicit evaluation of quadratic Euler sums},
author = {Ce Xu and Yingyue Yang and Jianwen Zhang},
journal= {arXiv preprint arXiv:1609.04923},
year = {2017}
}