Congruences of alternating multiple harmonic sums

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.

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

References in corpus (1)

• Congruences involving alternating multiple harmonic sum

Cited by in corpus (3)

• Congruences arising from Apéry-type series for zeta values
• Identity Families of Multiple Harmonic Sums and Multiple Zeta (Star) Values
• New properties of multiple harmonic sums modulo $p$ and $p$-analogues of Leshchiner's series