We will employ the method of contour integration to investigate the parity results of non-embedded cyclotomic multiple t-values, which we refer to as cyclotomic Euler T-sums. We can provide explicit parity formulas for the linear and quadratic cases of cyclotomic Euler T-sums, as well as state a parity theorem for the general case. We also present illustrative examples and corollaries. From this, some parity results for classical cyclotomic multiple t-values can be derived. Furthermore, we present several general formulas for cyclotomic Euler T-sums with denominators involving arbitrary rational polynomials through residue computations. By evaluating these polynomials and computing residues, many other formulas analogous to cyclotomic Euler T-sums can be derived. In particular, we also obtain certain parity results for the cyclotomic versions of multiple T-values as defined by Kaneko and Tsumura. Finally, we propose some conjectures and questions regarding the parity of cyclotomic multiple t-values and cyclotomic multiple T-values.
Wang et al. (Mon,) studied this question.