Abstract Identity-based research in physics education has been receiving increased attention the past few years given potential of identity producing novel insights into ways’ students engage physics. In this study, we examined development preservice teachers’ through a specific instructional practice: specially designed course incorporating use multiple representations. Although programs and p...

We introduce a q-analog of the multiple harmonic series commonly referred to as multiple zeta values. The multiple q-zeta values satisfy a q-stuffle multiplication rule analogous to the stuffle multiplication rule arising from the series representation of ordinary multiple zeta values. Additionally, multiple q-zeta values can be viewed as special values of the multiple q-polylogarithm, which ad...

In this paper we first establish several integral identities involving the multiple polylogarithm functions and Kaneko-Tsumura A-function, which can be thought as a single-variable function of level two. We find that these integrals expressed in terms zeta (star) values, their related variants (multiple t-values, T-values, S-values, etc.), harmonic sums T-harmonic sums, S-harmonic are closely t...