2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110246We reduce the sum $\sum_{k=1}^\infty \sum_{j=0}^{k-1} \frac{(-1)^{j+k+1}}{(2j+1)^mk}$ in terms of special values of the Dirichlet L-series in the character of conductor 4. This sum is a combination of colored zeta values.Number Theory11G55, 11M06text