Congruences of alternating multiple harmonic sums

Details Congruences of alternating multiple harmonic sums Congruences of alternating multiple harmonic sums

2009-09-03

arxiv.org/abs/0909.0670v2

J. Comb. and Number Theory 2 (2)(2010), Article 3

Mathematics

Number Theory

24 pages. A few misprints are corrected and references are updated. A result of Chamberland and Dilcher is now used to simplif

Scientific paper

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.

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