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Published online by Cambridge University Press: 11 November 2022
We study Ohno–Zagier type relations 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 generalised hypergeometric function
$\,_3F_2$
. 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.
This work was supported by the Fundamental Research Funds for the Central Universities (grant number 22120210552).