Jianqiang Zhao
Published 2015-07-17Version 1
The alternating multiple harmonic sums are partial sums of the iterated infinite series defining the Euler sums which are the alternating version of the multiple zeta values. In this paper, we present some systematic structural results of the van Hamme type congruences of these sums, collected as finite Euler sums. Moreover, we relate this to the structure of the Euler sums which generalizes the corresponding result of the multiple zeta values. We also provide a few conjectures with extensive numerical support.
Regular primes, non-Wieferich primes, and finite multiple zeta values of level $N$
Analogues of the Aoki-Ohno and Le-Murakami relations for finite multiple zeta values
Derivation relations for finite multiple zeta values
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