Ohno-Zagier type relation for multiple t-values
Abstract
We study the Ohno-Zagier type relation for multiple t-values and multiple t-star values. We represent the generating function of sums of multiple t-(star) values with fixed weight, depth and height in terms of the generalized hypergeometric function \,3F2. As applications, we get a formula for the generating function of sums of multiple t-(star) values of maximal height and a weighted sum formula for sums of multiple t-(star) values with fixed weight and depth.
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