Symmetric sum formula for elliptic q-multiple polylogarithms

Abstract Hoffman [11] showed that certain symmetric sums of multiple zeta star values can be written in terms of Riemann zeta values. In this paper, we consider generalization of this symmetric sum formula to elliptic q -multiple polylogarithms, which are common deformations of q - and elliptic multiple polylogarithms. We also establish an inversion formula of the generalized formula and investigate the relationship between the sum formulas satisfied by multiple zeta values and it.