On q-Analog of Wolstenholme Type Congruences for Multiple Harmonic Sums (1303.3060v1)

Published 12 Mar 2013 in math.NT

Abstract: Multiple harmonic sums are iterated generalizations of harmonic sums. Recently Dilcher has considered congruences involving q-analogs of these sums in depth one. In this paper we shall study the homogeneous case for arbitrary depth by using generating functions and shuffle relations of the q-analog of multiple harmonic sums. At the end, we also consider some non-homogeneous cases.

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Authors (1)

Jianqiang Zhao

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