Double shuffle relations for q-analogues of multiple zeta values, their derivatives and the connection to multiple Eisenstein series (Various Aspects of Multiple Zeta Value)

Abstract

We study a certain class of q-analogues of multiple zeta values, which appear in the Fourier expansion of multiple Eisenstein series. Studying their algebraic structure and their derivatives we propose conjectured explicit formulas for the derivatives of double and triple Eisenstein series.