On generalization of formula involving symmetric sums of triple and quadruple zeta values (Various aspects of multiple zeta values)

"Various aspects of multiple zeta values". July 23～26, 2013. edited by Kentaro Ihara. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.Hoffman showed a formula involving symmetric sums of multiple zeta values. In this report, we give their generalizations for triple and quadruple zeta values. We obtain identities involving "cyclic" sums of these values, and we see that obtained identities yield Hoffman's formula for triple and quadruple zeta values. The results introduced in this report are included in author's preprint "A parameterized generalization of the sum formula for quadruple zeta values" (arXiv:1210.8005 [math.NT])