Congruences of alternating multiple harmonic sums
Number Theory
2012-07-24 v2
Abstract
In this sequel to arXiv:0905.3327, we continue to study the congruence properties of the alternating version of multiple harmonic sums. As contrast to the study of multiple harmonic sums where Bernoulli numbers and Bernoulli polynomials play the key roles, in the alternating setting the Euler numbers and the Euler polynomials are also essential.
Cite
@article{arxiv.0909.0670,
title = {Congruences of alternating multiple harmonic sums},
author = {Roberto Tauraso and Jianqiang Zhao},
journal= {arXiv preprint arXiv:0909.0670},
year = {2012}
}
Comments
24 pages. A few misprints are corrected and references are updated. A result of Chamberland and Dilcher is now used to simplify the proof of Theorem 3.1