Some relations of interpolated multiple zeta values

Published 17 Aug 2016 in math.NT | (1608.04835v2)

Abstract: In this paper, the extended double shuffle relations for interpolated multiple zeta values are established. As an application, Hoffman's relations for interpolated multiple zeta values are proved. Furthermore, a generating function for sums of interpolated multiple zeta values of fixed weight, depth and height is represented by hypergeometric functions, and we discuss some special cases.

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